Linear Algebra Video Lectures

Lecture Name	Page Views	Added Date
Introduction to matrices	64	Sep,10 2011
Matrix multiplication (part 1)	50	Sep,10 2011
Matrix multiplication (part 2)	33	Sep,10 2011
Inverse Matrix (part 1)	47	Sep,10 2011
Inverting matrices (part 2)	41	Sep,10 2011
Inverting Matrices (part 3)	48	Sep,10 2011
Matrices to solve a system of equations	47	Sep,10 2011
Matrices to solve a vector combination problem	41	Sep,10 2011
Singular Matrices	44	Sep,10 2011
3-variable linear equations (part 1)	40	Sep,10 2011
Solving 3 Equations with 3 Unknowns	30	Sep,10 2011
Linear Algebra: Introduction to Vectors	40	Sep,10 2011
Linear Algebra: Vector Examples	48	Sep,10 2011
Linear Algebra: Parametric Representations of Lines	39	Sep,10 2011
Linear Combinations and Span	40	Sep,10 2011
Linear Algebra: Introduction to Linear Independence	38	Sep,10 2011
More on linear independence	34	Sep,10 2011
Span and Linear Independence Example	44	Sep,10 2011
Linear Subspaces	47	Sep,10 2011
Linear Algebra: Basis of a Subspace	40	Sep,10 2011
Vector Dot Product and Vector Length	48	Sep,10 2011
Proving Vector Dot Product Properties	35	Sep,10 2011
Proof of the Cauchy-Schwarz Inequality	45	Sep,10 2011
Linear Algebra: Vector Triangle Inequality	30	Sep,10 2011
Defining the angle between vectors	59	Sep,10 2011
Defining a plane in R3 with a point and normal vector	37	Sep,10 2011
Linear Algebra: Cross Product Introduction	36	Sep,10 2011
Proof: Relationship between cross product and sin of angle	42	Sep,10 2011
Dot and Cross Product Comparison/Intuition	30	Sep,10 2011
Matrices: Reduced Row Echelon Form 1	38	Sep,10 2011
Matrices: Reduced Row Echelon Form 2	44	Sep,10 2011
Matrices: Reduced Row Echelon Form 3	38	Sep,10 2011
Matrix Vector Products	41	Sep,10 2011
Introduction to the Null Space of a Matrix	37	Sep,10 2011
Null Space 2: Calculating the null space of a matrix	38	Sep,10 2011
Null Space 3: Relation to Linear Independence	39	Sep,10 2011
Column Space of a Matrix	45	Sep,10 2011
Null Space and Column Space Basis	48	Sep,10 2011
Visualizing a Column Space as a Plane in R3	34	Sep,10 2011
Proof: Any subspace basis has same number of elements	41	Sep,10 2011
Dimension of the Null Space or Nullity	34	Sep,10 2011
Dimension of the Column Space or Rank	41	Sep,10 2011
Showing relation between basis cols and pivot cols	41	Sep,10 2011
Showing that the candidate basis does span C(A)	45	Sep,10 2011
A more formal understanding of functions	37	Sep,10 2011
Vector Transformations	66	Sep,10 2011
Linear Transformations	43	Sep,10 2011
Matrix Vector Products as Linear Transformations	47	Sep,10 2011
Linear Transformations as Matrix Vector Products	45	Sep,10 2011
Image of a subset under a transformation	40	Sep,10 2011
im(T): Image of a Transformation	41	Sep,10 2011
Preimage of a set	38	Sep,10 2011
Preimage and Kernel Example	51	Sep,10 2011
Sums and Scalar Multiples of Linear Transformations	35	Sep,10 2011
More on Matrix Addition and Scalar Multiplication	46	Sep,10 2011
Linear Transformation Examples: Scaling and Reflections	46	Sep,10 2011
Linear Transformation Examples: Rotations in R2	36	Sep,10 2011
Rotation in R3 around the X-axis	35	Sep,10 2011
Unit Vectors	46	Sep,10 2011
Introduction to Projections	39	Sep,10 2011
Expressing a Projection on to a line as a Matrix Vector prod	49	Sep,10 2011
Compositions of Linear Transformations 1	33	Sep,10 2011
Compositions of Linear Transformations 2	52	Sep,10 2011
Linear Algebra: Matrix Product Examples	45	Sep,10 2011
Matrix Product Associativity	45	Sep,10 2011
Distributive Property of Matrix Products	48	Sep,10 2011
Linear Algebra: Introduction to the inverse of a function	46	Sep,10 2011
Proof: Invertibility implies a unique solution to f(x)=y	47	Sep,10 2011
Surjective (onto) and Injective (one-to-one) functions	72	Sep,10 2011
Relating invertibility to being onto and one-to-one	32	Sep,10 2011
Determining whether a transformation is onto	39	Sep,10 2011
Linear Algebra: Exploring the solution set of Ax=b	36	Sep,10 2011
Linear Algebra: Matrix condition for one-to-one trans	52	Sep,10 2011
Linear Algebra: Simplifying conditions for invertibility	45	Sep,10 2011
Linear Algebra: Showing that Inverses are Linear	39	Sep,10 2011
Linear Algebra: Deriving a method for determining inverses	51	Sep,10 2011
Linear Algebra: Example of Finding Matrix Inverse	61	Sep,10 2011
Linear Algebra: Formula for 2x2 inverse	33	Sep,10 2011
Linear Algebra: 3x3 Determinant	37	Sep,10 2011
Linear Algebra: nxn Determinant	44	Sep,10 2011
Linear Algebra: Determinants along other rows/cols	53	Sep,10 2011
Linear Algebra: Rule of Sarrus of Determinants	44	Sep,10 2011
Linear Algebra: Determinant when row multiplied by scalar	42	Sep,10 2011
Linear Algebra: (correction) scalar muliplication of row	44	Sep,10 2011
Linear Algebra: Determinant when row is added	44	Sep,10 2011
Linear Algebra: Duplicate Row Determinant	30	Sep,10 2011
Linear Algebra: Determinant after row operations	44	Sep,10 2011
Linear Algebra: Upper Triangular Determinant	47	Sep,10 2011
Linear Algebra: Simpler 4x4 determinant	52	Sep,10 2011
Linear Algebra: Determinant and area of a parallelogram	43	Sep,10 2011
Linear Algebra: Determinant as Scaling Factor	34	Sep,10 2011
Linear Algebra: Transpose of a Matrix	47	Sep,10 2011
Linear Algebra: Determinant of Transpose	50	Sep,10 2011
Linear Algebra: Transpose of a Matrix Product	42	Sep,10 2011
Linear Algebra: Transposes of sums and inverses	52	Sep,10 2011
Linear Algebra: Transpose of a Vector	43	Sep,10 2011
Linear Algebra: Rowspace and Left Nullspace	39	Sep,10 2011
Lin Alg: Visualizations of Left Nullspace and Rowspace	38	Sep,10 2011
Linear Algebra: Orthogonal Complements	40	Sep,10 2011
Linear Algebra: Rank(A) = Rank(transpose of A)	95	Sep,10 2011
Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n	46	Sep,10 2011
Lin Alg: Representing vectors in Rn using subspace members	50	Sep,10 2011
Lin Alg: Orthogonal Complement of the Orthogonal Complement	44	Sep,10 2011
Lin Alg: Orthogonal Complement of the Nullspace	36	Sep,10 2011
Lin Alg: Unique rowspace solution to Ax=b	45	Sep,10 2011
Linear Alg: Rowspace Solution to Ax=b example	56	Sep,10 2011
Linear Alg: Rowspace Solution to Ax=b example	31	Sep,10 2011
Lin Alg: Showing that A-transpose x A is invertible	31	Sep,10 2011
Linear Algebra: Projections onto Subspaces	32	Sep,10 2011
Linear Alg: Visualizing a projection onto a plane	48	Sep,10 2011
Lin Alg: A Projection onto a Subspace is a Linear Transforma	37	Sep,10 2011
Linear Algebra: Subspace Projection Matrix Example	44	Sep,10 2011
Lin Alg: Another Example of a Projection Matrix	42	Sep,10 2011
Linear Alg: Projection is closest vector in subspace	42	Sep,10 2011
Linear Algebra: Least Squares Approximation	34	Sep,10 2011
Linear Algebra: Least Squares Examples	36	Sep,10 2011
Linear Algebra: Another Least Squares Example	39	Sep,10 2011
Linear Algebra: Coordinates with Respect to a Basis	56	Sep,10 2011
Linear Algebra: Change of Basis Matrix	55	Sep,10 2011
Lin Alg: Invertible Change of Basis Matrix	49	Sep,10 2011
Lin Alg: Transformation Matrix with Respect to a Basis	38	Sep,10 2011
Lin Alg: Alternate Basis Tranformation Matrix Example	44	Sep,10 2011
Lin Alg: Alternate Basis Tranformation Matrix Example Part 2	34	Sep,10 2011
Lin Alg: Changing coordinate systems to help find a transformation matrix	37	Sep,10 2011
Linear Algebra: Introduction to Orthonormal Bases	41	Sep,10 2011
Linear Algebra: Coordinates with respect to orthonormal bases	51	Sep,10 2011
Lin Alg: Projections onto subspaces with orthonormal bases	42	Sep,10 2011
Lin Alg: Finding projection onto subspace with orthonormal basis example	35	Sep,10 2011
Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix	33	Sep,10 2011
Lin Alg: Orthogonal matrices preserve angles and lengths	40	Sep,10 2011
Linear Algebra: The Gram-Schmidt Process	36	Sep,10 2011
Linear Algebra: Gram-Schmidt Process Example	42	Sep,10 2011
Linear Algebra: Gram-Schmidt example with 3 basis vectors	49	Sep,10 2011
Linear Algebra: Introduction to Eigenvalues and Eigenvectors	44	Sep,10 2011
Linear Algebra: Proof of formula for determining Eigenvalues	44	Sep,10 2011
Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix	36	Sep,10 2011
Linear Algebra: Finding Eigenvectors and Eigenspaces example	46	Sep,10 2011
Linear Algebra: Eigenvalues of a 3x3 matrix	48	Sep,10 2011
Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix	48	Sep,10 2011
Linear Algebra: Showing that an eigenbasis makes for good coordinate systems	41	Sep,10 2011
Vector Triple Product Expansion (very optional)	39	Sep,10 2011
Normal vector from plane equation	51	Sep,10 2011
Point distance to plane	33	Sep,10 2011
Distance Between Planes	41	Sep,10 2011