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Videos uploaded by user “MathTheBeautiful”
Linear Algebra 2b: Decomposition - It's no Time to Nickel and Dime!
 
03:02
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 12537 MathTheBeautiful
Linear Algebra 14TBD: Calculation of the Determinant by Gaussian Elimination
 
02:49
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 5014 MathTheBeautiful
Linear Algebra 2p: A Passionate Appeal - Treat All Objects on Their Own Terms!
 
03:58
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 5067 MathTheBeautiful
Linear Algebra 3a: What is Linear Decomposition?
 
06:05
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 6245 MathTheBeautiful
Linear Algebra 2a: J.S. Bach + M.L. King = Linear Algebra, or the Addition of Sounds
 
06:24
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 14342 MathTheBeautiful
Linear Algebra 3b3: Decomposition with Geometric Vectors 3
 
05:17
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 4269 MathTheBeautiful
Linear Algebra 14a: Why Determinants?
 
05:11
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 11699 MathTheBeautiful
Linear Algebra 18a: Introduction to the Eigenvalue Decomposition
 
10:23
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 29493 MathTheBeautiful
Linear Algebra 3d3: Decomposition in ℝⁿ, 3
 
06:52
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3837 MathTheBeautiful
Linear Algebra 18b: A Worked out Eigenvalue Decomposition Example
 
04:32
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 10702 MathTheBeautiful
Linear Algebra 3d2: Decomposition in ℝⁿ, 2
 
06:17
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3736 MathTheBeautiful
Linear Algebra 20f: The Product of Two Orthogonal Matrices Is Itself an Orthogonal Matrix
 
02:37
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3163 MathTheBeautiful
Why Inner Products?
 
14:57
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 43079 MathTheBeautiful
Linear Algebra 23c: A Worked out Polar Decomposition Example
 
03:15
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 2928 MathTheBeautiful
Linear Algebra 14TBD:  The Direct Algebraic Definition of the Determinant
 
11:03
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 4635 MathTheBeautiful
Is BᵀB Always Positive Definite?       (Also, Messi makes a comeback!)
 
08:46
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3280 MathTheBeautiful
Linear Algebra 1b: Magic of Gaussian Quadrature - A Billion Times Better than the Next Best Thing
 
09:35
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 39102 MathTheBeautiful
Water and Wine
 
02:18
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 3428 MathTheBeautiful
Why {1,x,x²} Is a Terrible Basis
 
08:31
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 5510 MathTheBeautiful
Gaussian Quadrature 1: Summary of Legendre Polynomials
 
09:19
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 9283 MathTheBeautiful
Linear Algebra 21i: How to Represent a Rotation with respect to an Arbitrary Axis
 
06:45
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 6936 MathTheBeautiful
Linear Algebra 3d1: Decomposition in ℝⁿ 1
 
05:04
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 4068 MathTheBeautiful
Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler
 
17:13
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 26985 MathTheBeautiful
Linear Algebra 2k: Linear Combinations - a New Term for an Old Concept
 
03:05
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 7405 MathTheBeautiful
Complex Fourier Series
 
15:57
Complete playlist: http://bit.ly/PDEonYT Lemma http://lem.ma is the place to be! These videos represent an entire course on Partial Differential Equations (PDEs). A strong emphasis is made on the Linear Algebra (http://lem.ma/LA) structure of the subject. All questions asked in the comments will be promptly answered. Pavel Grinfeld
Views: 35235 MathTheBeautiful
Linear Algebra 16h3: Algebraic Multiplicity Matches Geometric Multiplicty
 
04:33
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 8765 MathTheBeautiful
Tensor Calculus 4f: The Relationship Between the Covariant and the Contravariant Bases
 
06:07
This course will continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Solutions: http://bit.ly/ITACMS_Sol_Set_YT Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Weyl's masterpiece: http://bit.ly/SpaceTimeMatter Levi-Civita's classic: http://bit.ly/LCTensors Linear Algebra Videos: http://bit.ly/LAonYT Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Tensor Calculus Change of Coordinates The Tensor Description of Euclidean Spaces The Tensor Property Elements of Linear Algebra in Tensor Notation Covariant Differentiation Determinants and the Levi-Civita Symbol The Tensor Description of Embedded Surfaces The Covariant Surface Derivative Curvature Embedded Curves Integration and Gauss’s Theorem The Foundations of the Calculus of Moving Surfaces Extension to Arbitrary Tensors Applications of the Calculus of Moving Surfaces Index: Absolute tensor Affine coordinates Arc length Beltrami operator Bianchi identities Binormal of a curve Cartesian coordinates Christoffel symbol Codazzi equation Contraction theorem Contravaraint metric tensor Contravariant basis Contravariant components Contravariant metric tensor Coordinate basis Covariant basis Covariant derivative Metrinilic property Covariant metric tensor Covariant tensor Curl Curvature normal Curvature tensor Cuvature of a curve Cylindrical axis Cylindrical coordinates Delta systems Differentiation of vector fields Directional derivative Dirichlet boundary condition Divergence Divergence theorem Dummy index Einstein summation convention Einstein tensor Equation of a geodesic Euclidean space Extrinsic curvature tensor First groundform Fluid film equations Frenet formulas Gauss’s theorem Gauss’s Theorema Egregium Gauss–Bonnet theorem Gauss–Codazzi equation Gaussian curvature Genus of a closed surface Geodesic Gradient Index juggling Inner product matrix Intrinsic derivative Invariant Invariant time derivative Jolt of a particle Kronecker symbol Levi-Civita symbol Mean curvature Metric tensor Metrics Minimal surface Normal derivative Normal velocity Orientation of a coordinate system Orientation preserving coordinate change Relative invariant Relative tensor Repeated index Ricci tensor Riemann space Riemann–Christoffel tensor Scalar Scalar curvature Second groundform Shift tensor Stokes’ theorem Surface divergence Surface Laplacian Surge of a particle Tangential coordinate velocity Tensor property Theorema Egregium Third groundform Thomas formula Time evolution of integrals Torsion of a curve Total curvature Variant Vector Parallelism along a curve Permutation symbol Polar coordinates Position vector Principal curvatures Principal normal Quotient theorem Radius vector Rayleigh quotient Rectilinear coordinates Vector curvature normal Vector curvature tensor Velocity of an interface Volume element Voss–Weyl formula Weingarten’s formula Applications: Differenital Geometry, Relativity
Views: 23439 MathTheBeautiful
Gram-Schmidt Orthogonalization and Legendre Polynomials
 
08:16
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 7717 MathTheBeautiful
The Most Important Video in the Series: The Linear Property of the Fundamental PDEs
 
10:55
Complete playlist: http://bit.ly/PDEonYT Lemma http://lem.ma is the place to be! These videos represent an entire course on Partial Differential Equations (PDEs). A strong emphasis is made on the Linear Algebra (http://lem.ma/LA) structure of the subject. All questions asked in the comments will be promptly answered. Pavel Grinfeld
Views: 3473 MathTheBeautiful
Linear Algebra 22j: The Cholesky Decomposition and a Tribute to Land Surveyors
 
08:40
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 12551 MathTheBeautiful
Linear Algebra 2k1: Examples of Linear Combinations
 
09:17
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 8452 MathTheBeautiful
Tensor Calculus 4g: Index Juggling
 
25:49
This course will continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Solutions: http://bit.ly/ITACMS_Sol_Set_YT Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Weyl's masterpiece: http://bit.ly/SpaceTimeMatter Levi-Civita's classic: http://bit.ly/LCTensors Linear Algebra Videos: http://bit.ly/LAonYT Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Tensor Calculus Change of Coordinates The Tensor Description of Euclidean Spaces The Tensor Property Elements of Linear Algebra in Tensor Notation Covariant Differentiation Determinants and the Levi-Civita Symbol The Tensor Description of Embedded Surfaces The Covariant Surface Derivative Curvature Embedded Curves Integration and Gauss’s Theorem The Foundations of the Calculus of Moving Surfaces Extension to Arbitrary Tensors Applications of the Calculus of Moving Surfaces Index: Absolute tensor Affine coordinates Arc length Beltrami operator Bianchi identities Binormal of a curve Cartesian coordinates Christoffel symbol Codazzi equation Contraction theorem Contravaraint metric tensor Contravariant basis Contravariant components Contravariant metric tensor Coordinate basis Covariant basis Covariant derivative Metrinilic property Covariant metric tensor Covariant tensor Curl Curvature normal Curvature tensor Cuvature of a curve Cylindrical axis Cylindrical coordinates Delta systems Differentiation of vector fields Directional derivative Dirichlet boundary condition Divergence Divergence theorem Dummy index Einstein summation convention Einstein tensor Equation of a geodesic Euclidean space Extrinsic curvature tensor First groundform Fluid film equations Frenet formulas Gauss’s theorem Gauss’s Theorema Egregium Gauss–Bonnet theorem Gauss–Codazzi equation Gaussian curvature Genus of a closed surface Geodesic Gradient Index juggling Inner product matrix Intrinsic derivative Invariant Invariant time derivative Jolt of a particle Kronecker symbol Levi-Civita symbol Mean curvature Metric tensor Metrics Minimal surface Normal derivative Normal velocity Orientation of a coordinate system Orientation preserving coordinate change Relative invariant Relative tensor Repeated index Ricci tensor Riemann space Riemann–Christoffel tensor Scalar Scalar curvature Second groundform Shift tensor Stokes’ theorem Surface divergence Surface Laplacian Surge of a particle Tangential coordinate velocity Tensor property Theorema Egregium Third groundform Thomas formula Time evolution of integrals Torsion of a curve Total curvature Variant Vector Parallelism along a curve Permutation symbol Polar coordinates Position vector Principal curvatures Principal normal Quotient theorem Radius vector Rayleigh quotient Rectilinear coordinates Vector curvature normal Vector curvature tensor Velocity of an interface Volume element Voss–Weyl formula Weingarten’s formula Applications: Differenital Geometry, Relativity
Views: 22769 MathTheBeautiful
Linear Algebra 15f: The Transformation of Translation
 
03:42
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3833 MathTheBeautiful
Linear Algebra 12c: Applications Series - Polynomial Interpolation According to Lagrange
 
12:11
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 8055 MathTheBeautiful
Linear Algebra 16c: Determining Eigenvalues and Eigenvectors, a Detailed Example
 
08:00
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3628 MathTheBeautiful
Linear Algebra 16h6: Generalized Eigenvectors
 
07:36
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 13803 MathTheBeautiful
Linear Algebra 7b: Four Linearly Independent Vectors in the Space
 
01:49
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3548 MathTheBeautiful
Linear Algebra 15m+: The Identity Crisis, I Mean, Transformation
 
02:42
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 2287 MathTheBeautiful
Linear Algebra 8g: A Wide Linear System
 
08:18
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 2258 MathTheBeautiful
World's Simplest ODE is Still Interesting!
 
04:00
Complete playlist: http://bit.ly/PDEonYT Lemma http://lem.ma is the place to be! These videos represent an entire course on Partial Differential Equations (PDEs). A strong emphasis is made on the Linear Algebra (http://lem.ma/LA) structure of the subject. All questions asked in the comments will be promptly answered. Pavel Grinfeld
Views: 3467 MathTheBeautiful
Linear Algebra 4d1: A Property Irrelevant in Decomposition Problems
 
02:57
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 2461 MathTheBeautiful
Linear Algebra 16k: Eigenvalues, Eigenvectors and the Similarity Transformation
 
04:50
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 12049 MathTheBeautiful
Linear Algebra 23f: Introducing the Celebrated Singular Value Decomposition (SVD)
 
12:01
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 14019 MathTheBeautiful
Linear Algebra 6c: Second Definition of Linear Dependence Fixed!
 
04:29
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 3496 MathTheBeautiful
Linear Algebra 8f: A Tall Linear System
 
06:51
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 2457 MathTheBeautiful
Linear Algebra 21f: Rotation Matrices in 3D for Rotations with respect to the Coordinate Axes
 
12:23
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 27714 MathTheBeautiful
Can an Irrational Number to Irrational Power be Rational?
 
01:54
Solution on Lemma: http://lem.ma/J7 Twitter: https://twitter.com/PavelGrinfeld
Views: 3425 MathTheBeautiful
Linear Algebra 8i: An Exceedingly Simple Linear System
 
05:19
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 2197 MathTheBeautiful
Linear Algebra 2g: Subtraction of Geometric Vectors
 
06:15
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 7256 MathTheBeautiful
What Are Orthogonal Polynomials? Inner Products on the Space of Functions
 
10:52
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 14015 MathTheBeautiful

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