http://www.khanacademy.org/video/introduction-to-matrices?playlist=Linear+Algebra|Introduction to matrices http://www.khanacademy.org/video/matrix-multiplication--part-1?playlist=Linear+Algebra|Matrix multiplication (part 1) http://www.khanacademy.org/video/matrix-multiplication--part-2?playlist=Linear+Algebra|Matrix multiplication (part 2) http://www.khanacademy.org/video/inverse-matrix--part-1?playlist=Linear+Algebra|Inverse Matrix (part 1) http://www.khanacademy.org/video/inverting-matrices--part-2?playlist=Linear+Algebra|Inverting matrices (part 2) http://www.khanacademy.org/video/inverting-matrices--part-3?playlist=Linear+Algebra|Inverting Matrices (part 3) http://www.khanacademy.org/video/matrices-to-solve-a-system-of-equations?playlist=Linear+Algebra|Matrices to solve a system of equations http://www.khanacademy.org/video/matrices-to-solve-a-vector-combination-problem?playlist=Linear+Algebra|Matrices to solve a vector combination problem http://www.khanacademy.org/video/singular-matrices?playlist=Linear+Algebra|Singular Matrices http://www.khanacademy.org/video/3-variable-linear-equations--part-1?playlist=Linear+Algebra|3-variable linear equations (part 1) http://www.khanacademy.org/video/solving-3-equations-with-3-unknowns?playlist=Linear+Algebra|Solving 3 Equations with 3 Unknowns http://www.khanacademy.org/video/linear-algebra--introduction-to-vectors?playlist=Linear+Algebra|Linear Algebra: Introduction to Vectors http://www.khanacademy.org/video/linear-algebra--vector-examples?playlist=Linear+Algebra|Linear Algebra: Vector Examples http://www.khanacademy.org/video/linear-algebra--parametric-representations-of-lines?playlist=Linear+Algebra|Linear Algebra: Parametric Representations of Lines http://www.khanacademy.org/video/linear-combinations-and-span?playlist=Linear+Algebra|Linear Combinations and Span http://www.khanacademy.org/video/linear-algebra--introduction-to-linear-independence?playlist=Linear+Algebra|Linear Algebra: Introduction to Linear Independence http://www.khanacademy.org/video/more-on-linear-independence?playlist=Linear+Algebra|More on linear independence http://www.khanacademy.org/video/span-and-linear-independence-example?playlist=Linear+Algebra|Span and Linear Independence Example http://www.khanacademy.org/video/linear-subspaces?playlist=Linear+Algebra|Linear Subspaces http://www.khanacademy.org/video/linear-algebra--basis-of-a-subspace?playlist=Linear+Algebra|Linear Algebra: Basis of a Subspace http://www.khanacademy.org/video/vector-dot-product-and-vector-length?playlist=Linear+Algebra|Vector Dot Product and Vector Length http://www.khanacademy.org/video/proving-vector-dot-product-properties?playlist=Linear+Algebra|Proving Vector Dot Product Properties http://www.khanacademy.org/video/proof-of-the-cauchy-schwarz-inequality?playlist=Linear+Algebra|Proof of the Cauchy-Schwarz Inequality http://www.khanacademy.org/video/linear-algebra--vector-triangle-inequality?playlist=Linear+Algebra|Linear Algebra: Vector Triangle Inequality http://www.khanacademy.org/video/defining-the-angle-between-vectors?playlist=Linear+Algebra|Defining the angle between vectors http://www.khanacademy.org/video/defining-a-plane-in-r3-with-a-point-and-normal-vector?playlist=Linear+Algebra|Defining a plane in R3 with a point and normal vector http://www.khanacademy.org/video/linear-algebra--cross-product-introduction?playlist=Linear+Algebra|Linear Algebra: Cross Product Introduction http://www.khanacademy.org/video/proof--relationship-between-cross-product-and-sin-of-angle?playlist=Linear+Algebra|Proof: Relationship between cross product and sin of angle http://www.khanacademy.org/video/dot-and-cross-product-comparison-intuition?playlist=Linear+Algebra|Dot and Cross Product Comparison/Intuition http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-1?playlist=Linear+Algebra|Matrices: Reduced Row Echelon Form 1 http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-2?playlist=Linear+Algebra|Matrices: Reduced Row Echelon Form 2 http://www.khanacademy.org/video/matrices--reduced-row-echelon-form-3?playlist=Linear+Algebra|Matrices: Reduced Row Echelon Form 3 http://www.khanacademy.org/video/matrix-vector-products?playlist=Linear+Algebra|Matrix Vector Products http://www.khanacademy.org/video/introduction-to-the-null-space-of-a-matrix?playlist=Linear+Algebra|Introduction to the Null Space of a Matrix http://www.khanacademy.org/video/null-space-2--calculating-the-null-space-of-a-matrix?playlist=Linear+Algebra|Null Space 2: Calculating the null space of a matrix http://www.khanacademy.org/video/null-space-3--relation-to-linear-independence?playlist=Linear+Algebra|Null Space 3: Relation to Linear Independence http://www.khanacademy.org/video/column-space-of-a-matrix?playlist=Linear+Algebra|Column Space of a Matrix http://www.khanacademy.org/video/null-space-and-column-space-basis?playlist=Linear+Algebra|Null Space and Column Space Basis http://www.khanacademy.org/video/visualizing-a-column-space-as-a-plane-in-r3?playlist=Linear+Algebra|Visualizing a Column Space as a Plane in R3 http://www.khanacademy.org/video/proof--any-subspace-basis-has-same-number-of-elements?playlist=Linear+Algebra|Proof: Any subspace basis has same number of elements http://www.khanacademy.org/video/dimension-of-the-null-space-or-nullity?playlist=Linear+Algebra|Dimension of the Null Space or Nullity http://www.khanacademy.org/video/dimension-of-the-column-space-or-rank?playlist=Linear+Algebra|Dimension of the Column Space or Rank http://www.khanacademy.org/video/showing-relation-between-basis-cols-and-pivot-cols?playlist=Linear+Algebra|Showing relation between basis cols and pivot cols http://www.khanacademy.org/video/showing-that-the-candidate-basis-does-span-c-a?playlist=Linear+Algebra|Showing that the candidate basis does span C(A) http://www.khanacademy.org/video/a-more-formal-understanding-of-functions?playlist=Linear+Algebra|A more formal understanding of functions http://www.khanacademy.org/video/vector-transformations?playlist=Linear+Algebra|Vector Transformations http://www.khanacademy.org/video/linear-transformations?playlist=Linear+Algebra|Linear Transformations http://www.khanacademy.org/video/matrix-vector-products-as-linear-transformations?playlist=Linear+Algebra|Matrix Vector Products as Linear Transformations http://www.khanacademy.org/video/linear-transformations-as-matrix-vector-products?playlist=Linear+Algebra|Linear Transformations as Matrix Vector Products http://www.khanacademy.org/video/image-of-a-subset-under-a-transformation?playlist=Linear+Algebra|Image of a subset under a transformation http://www.khanacademy.org/video/im-t----image-of-a-transformation?playlist=Linear+Algebra|im(T): Image of a Transformation http://www.khanacademy.org/video/preimage-of-a-set?playlist=Linear+Algebra|Preimage of a set http://www.khanacademy.org/video/preimage-and-kernel-example?playlist=Linear+Algebra|Preimage and Kernel Example http://www.khanacademy.org/video/sums-and-scalar-multiples-of-linear-transformations?playlist=Linear+Algebra|Sums and Scalar Multiples of Linear Transformations http://www.khanacademy.org/video/more-on-matrix-addition-and-scalar-multiplication?playlist=Linear+Algebra|More on Matrix Addition and Scalar Multiplication http://www.khanacademy.org/video/linear-transformation-examples--scaling-and-reflections?playlist=Linear+Algebra|Linear Transformation Examples: Scaling and Reflections http://www.khanacademy.org/video/linear-transformation-examples--rotations-in-r2?playlist=Linear+Algebra|Linear Transformation Examples: Rotations in R2 http://www.khanacademy.org/video/rotation-in-r3-around-the-x-axis?playlist=Linear+Algebra|Rotation in R3 around the X-axis http://www.khanacademy.org/video/unit-vectors?playlist=Linear+Algebra|Unit Vectors http://www.khanacademy.org/video/introduction-to-projections?playlist=Linear+Algebra|Introduction to Projections http://www.khanacademy.org/video/expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod?playlist=Linear+Algebra|Expressing a Projection on to a line as a Matrix Vector prod http://www.khanacademy.org/video/compositions-of-linear-transformations-1?playlist=Linear+Algebra|Compositions of Linear Transformations 1 http://www.khanacademy.org/video/compositions-of-linear-transformations-2?playlist=Linear+Algebra|Compositions of Linear Transformations 2 http://www.khanacademy.org/video/linear-algebra--matrix-product-examples?playlist=Linear+Algebra|Linear Algebra: Matrix Product Examples http://www.khanacademy.org/video/matrix-product-associativity?playlist=Linear+Algebra|Matrix Product Associativity http://www.khanacademy.org/video/distributive-property-of-matrix-products?playlist=Linear+Algebra|Distributive Property of Matrix Products http://www.khanacademy.org/video/linear-algebra--introduction-to-the-inverse-of-a-function?playlist=Linear+Algebra|Linear Algebra: Introduction to the inverse of a function http://www.khanacademy.org/video/proof--invertibility-implies-a-unique-solution-to-f-x--y?playlist=Linear+Algebra|Proof: Invertibility implies a unique solution to f(x)=y http://www.khanacademy.org/video/surjective--onto--and-injective--one-to-one--functions?playlist=Linear+Algebra|Surjective (onto) and Injective (one-to-one) functions http://www.khanacademy.org/video/relating-invertibility-to-being-onto-and-one-to-one?playlist=Linear+Algebra|Relating invertibility to being onto and one-to-one http://www.khanacademy.org/video/determining-whether-a-transformation-is-onto?playlist=Linear+Algebra|Determining whether a transformation is onto http://www.khanacademy.org/video/linear-algebra--exploring-the-solution-set-of-ax-b?playlist=Linear+Algebra|Linear Algebra: Exploring the solution set of Ax=b http://www.khanacademy.org/video/linear-algebra--matrix-condition-for-one-to-one-trans?playlist=Linear+Algebra|Linear Algebra: Matrix condition for one-to-one trans http://www.khanacademy.org/video/linear-algebra--simplifying-conditions-for-invertibility?playlist=Linear+Algebra|Linear Algebra: Simplifying conditions for invertibility http://www.khanacademy.org/video/linear-algebra--showing-that-inverses-are-linear?playlist=Linear+Algebra|Linear Algebra: Showing that Inverses are Linear http://www.khanacademy.org/video/linear-algebra--deriving-a-method-for-determining-inverses?playlist=Linear+Algebra|Linear Algebra: Deriving a method for determining inverses http://www.khanacademy.org/video/linear-algebra--example-of-finding-matrix-inverse?playlist=Linear+Algebra|Linear Algebra: Example of Finding Matrix Inverse http://www.khanacademy.org/video/linear-algebra--formula-for-2x2-inverse?playlist=Linear+Algebra|Linear Algebra: Formula for 2x2 inverse http://www.khanacademy.org/video/linear-algebra--3x3-determinant?playlist=Linear+Algebra|Linear Algebra: 3x3 Determinant http://www.khanacademy.org/video/linear-algebra--nxn-determinant?playlist=Linear+Algebra|Linear Algebra: nxn Determinant http://www.khanacademy.org/video/linear-algebra--determinants-along-other-rows-cols?playlist=Linear+Algebra|Linear Algebra: Determinants along other rows/cols http://www.khanacademy.org/video/linear-algebra--rule-of-sarrus-of-determinants?playlist=Linear+Algebra|Linear Algebra: Rule of Sarrus of Determinants http://www.khanacademy.org/video/linear-algebra--determinant-when-row-multiplied-by-scalar?playlist=Linear+Algebra|Linear Algebra: Determinant when row multiplied by scalar http://www.khanacademy.org/video/linear-algebra---correction--scalar-muliplication-of-row?playlist=Linear+Algebra|Linear Algebra: (correction) scalar muliplication of row http://www.khanacademy.org/video/linear-algebra--determinant-when-row-is-added?playlist=Linear+Algebra|Linear Algebra: Determinant when row is added http://www.khanacademy.org/video/linear-algebra--duplicate-row-determinant?playlist=Linear+Algebra|Linear Algebra: Duplicate Row Determinant http://www.khanacademy.org/video/linear-algebra--determinant-after-row-operations?playlist=Linear+Algebra|Linear Algebra: Determinant after row operations http://www.khanacademy.org/video/linear-algebra--upper-triangular-determinant?playlist=Linear+Algebra|Linear Algebra: Upper Triangular Determinant http://www.khanacademy.org/video/linear-algebra--simpler-4x4-determinant?playlist=Linear+Algebra|Linear Algebra: Simpler 4x4 determinant http://www.khanacademy.org/video/linear-algebra---determinant-and-area-of-a-parallelogram?playlist=Linear+Algebra|Linear Algebra: Determinant and area of a parallelogram http://www.khanacademy.org/video/linear-algebra--determinant-as-scaling-factor?playlist=Linear+Algebra|Linear Algebra: Determinant as Scaling Factor http://www.khanacademy.org/video/linear-algebra--transpose-of-a-matrix?playlist=Linear+Algebra|Linear Algebra: Transpose of a Matrix http://www.khanacademy.org/video/linear-algebra---determinant-of-transpose?playlist=Linear+Algebra|Linear Algebra: Determinant of Transpose http://www.khanacademy.org/video/linear-algebra--transpose-of-a-matrix-product?playlist=Linear+Algebra|Linear Algebra: Transpose of a Matrix Product http://www.khanacademy.org/video/linear-algebra---transposes-of-sums-and-inverses?playlist=Linear+Algebra|Linear Algebra: Transposes of sums and inverses http://www.khanacademy.org/video/linear-algebra--transpose-of-a-vector?playlist=Linear+Algebra|Linear Algebra: Transpose of a Vector http://www.khanacademy.org/video/linear-algebra--rowspace-and-left-nullspace?playlist=Linear+Algebra|Linear Algebra: Rowspace and Left Nullspace http://www.khanacademy.org/video/lin-alg--visualizations-of-left-nullspace-and-rowspace?playlist=Linear+Algebra|Lin Alg: Visualizations of Left Nullspace and Rowspace http://www.khanacademy.org/video/linear-algebra--orthogonal-complements?playlist=Linear+Algebra|Linear Algebra: Orthogonal Complements http://www.khanacademy.org/video/linear-algebra--rank-a----rank-transpose-of-a?playlist=Linear+Algebra|Linear Algebra: Rank(A) = Rank(transpose of A) http://www.khanacademy.org/video/linear-algebra--dim-v----dim-orthogonoal-complelent-of-v--n?playlist=Linear+Algebra|Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n http://www.khanacademy.org/video/lin-alg--representing-vectors-in-rn-using-subspace-members?playlist=Linear+Algebra|Lin Alg: Representing vectors in Rn using subspace members http://www.khanacademy.org/video/lin-alg---orthogonal-complement-of-the-orthogonal-complement?playlist=Linear+Algebra|Lin Alg: Orthogonal Complement of the Orthogonal Complement http://www.khanacademy.org/video/lin-alg--orthogonal-complement-of-the-nullspace?playlist=Linear+Algebra|Lin Alg: Orthogonal Complement of the Nullspace http://www.khanacademy.org/video/lin-alg--unique-rowspace-solution-to-ax-b?playlist=Linear+Algebra|Lin Alg: Unique rowspace solution to Ax=b http://www.khanacademy.org/video/linear-alg--rowspace-solution-to-ax-b-example?playlist=Linear+Algebra|Linear Alg: Rowspace Solution to Ax=b example http://www.khanacademy.org/video/lin-alg--showing-that-a-transpose-x-a-is-invertible?playlist=Linear+Algebra|Lin Alg: Showing that A-transpose x A is invertible http://www.khanacademy.org/video/linear-algebra--projections-onto-subspaces?playlist=Linear+Algebra|Linear Algebra: Projections onto Subspaces http://www.khanacademy.org/video/linear-alg--visualizing-a-projection-onto-a-plane?playlist=Linear+Algebra|Linear Alg: Visualizing a projection onto a plane http://www.khanacademy.org/video/lin-alg--a-projection-onto-a-subspace-is-a-linear-transforma?playlist=Linear+Algebra|Lin Alg: A Projection onto a Subspace is a Linear Transforma http://www.khanacademy.org/video/linear-algebra--subspace-projection-matrix-example?playlist=Linear+Algebra|Linear Algebra: Subspace Projection Matrix Example http://www.khanacademy.org/video/lin-alg--another-example-of-a-projection-matrix?playlist=Linear+Algebra|Lin Alg: Another Example of a Projection Matrix http://www.khanacademy.org/video/linear-alg--projection-is-closest-vector-in-subspace?playlist=Linear+Algebra|Linear Alg: Projection is closest vector in subspace http://www.khanacademy.org/video/linear-algebra--least-squares-approximation?playlist=Linear+Algebra|Linear Algebra: Least Squares Approximation http://www.khanacademy.org/video/linear-algebra--least-squares-examples?playlist=Linear+Algebra|Linear Algebra: Least Squares Examples http://www.khanacademy.org/video/linear-algebra--another-least-squares-example?playlist=Linear+Algebra|Linear Algebra: Another Least Squares Example http://www.khanacademy.org/video/linear-algebra--coordinates-with-respect-to-a-basis?playlist=Linear+Algebra|Linear Algebra: Coordinates with Respect to a Basis http://www.khanacademy.org/video/linear-algebra--change-of-basis-matrix?playlist=Linear+Algebra|Linear Algebra: Change of Basis Matrix http://www.khanacademy.org/video/lin-alg--invertible-change-of-basis-matrix?playlist=Linear+Algebra|Lin Alg: Invertible Change of Basis Matrix http://www.khanacademy.org/video/lin-alg--transformation-matrix-with-respect-to-a-basis?playlist=Linear+Algebra|Lin Alg: Transformation Matrix with Respect to a Basis http://www.khanacademy.org/video/lin-alg--alternate-basis-tranformation-matrix-example?playlist=Linear+Algebra|Lin Alg: Alternate Basis Tranformation Matrix Example http://www.khanacademy.org/video/lin-alg--alternate-basis-tranformation-matrix-example-part-2?playlist=Linear+Algebra|Lin Alg: Alternate Basis Tranformation Matrix Example Part 2 http://www.khanacademy.org/video/lin-alg--changing-coordinate-systems-to-help-find-a-transformation-matrix?playlist=Linear+Algebra|Lin Alg: Changing coordinate systems to help find a transformation matrix http://www.khanacademy.org/video/linear-algebra--introduction-to-orthonormal-bases?playlist=Linear+Algebra|Linear Algebra: Introduction to Orthonormal Bases http://www.khanacademy.org/video/linear-algebra--coordinates-with-respect-to-orthonormal-bases?playlist=Linear+Algebra|Linear Algebra: Coordinates with respect to orthonormal bases http://www.khanacademy.org/video/lin-alg--projections-onto-subspaces-with-orthonormal-bases?playlist=Linear+Algebra|Lin Alg: Projections onto subspaces with orthonormal bases http://www.khanacademy.org/video/lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example?playlist=Linear+Algebra|Lin Alg: Finding projection onto subspace with orthonormal basis example http://www.khanacademy.org/video/lin-alg--example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix?playlist=Linear+Algebra|Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix http://www.khanacademy.org/video/lin-alg---orthogonal-matrices-preserve-angles-and-lengths?playlist=Linear+Algebra|Lin Alg: Orthogonal matrices preserve angles and lengths http://www.khanacademy.org/video/linear-algebra--the-gram-schmidt-process?playlist=Linear+Algebra|Linear Algebra: The Gram-Schmidt Process http://www.khanacademy.org/video/linear-algebra--gram-schmidt-process-example?playlist=Linear+Algebra|Linear Algebra: Gram-Schmidt Process Example http://www.khanacademy.org/video/linear-algebra---gram-schmidt-example-with-3-basis-vectors?playlist=Linear+Algebra|Linear Algebra: Gram-Schmidt example with 3 basis vectors http://www.khanacademy.org/video/linear-algebra--introduction-to-eigenvalues-and-eigenvectors?playlist=Linear+Algebra|Linear Algebra: Introduction to Eigenvalues and Eigenvectors http://www.khanacademy.org/video/linear-algebra--proof-of-formula-for-determining-eigenvalues?playlist=Linear+Algebra|Linear Algebra: Proof of formula for determining Eigenvalues http://www.khanacademy.org/video/linear-algebra--example-solving-for-the-eigenvalues-of-a-2x2-matrix?playlist=Linear+Algebra|Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix http://www.khanacademy.org/video/linear-algebra---finding-eigenvectors-and-eigenspaces-example?playlist=Linear+Algebra|Linear Algebra: Finding Eigenvectors and Eigenspaces example http://www.khanacademy.org/video/linear-algebra--eigenvalues-of-a-3x3-matrix?playlist=Linear+Algebra|Linear Algebra: Eigenvalues of a 3x3 matrix http://www.khanacademy.org/video/linear-algebra---eigenvectors-and-eigenspaces-for-a-3x3-matrix?playlist=Linear+Algebra|Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix http://www.khanacademy.org/video/linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems?playlist=Linear+Algebra|Linear Algebra: Showing that an eigenbasis makes for good coordinate systems http://www.khanacademy.org/video/vector-triple-product-expansion--very-optional?playlist=Linear+Algebra|Vector Triple Product Expansion (very optional) http://www.khanacademy.org/video/normal-vector-from-plane-equation?playlist=Linear+Algebra|Normal vector from plane equation http://www.khanacademy.org/video/point-distance-to-plane?playlist=Linear+Algebra|Point distance to plane http://www.khanacademy.org/video/distance-between-planes?playlist=Linear+Algebra|Distance Between Planes