Linear Algebra Video #1: Row Echelon Form (Gaussian Elimination) - Example 1 http://www.youtube.com/watch?v=avP3zg9pZso Linear Algebra Video #2: Row Echelon Form (Gaussian Elimination) Overdetermined System - Example 1 http://www.youtube.com/watch?v=-TSl_3fcxyE Linear Algebra Video #3: Row Echelon Form (Gaussian Elimination) Overdetermined System - Example 2 http://www.youtube.com/watch?v=l24NiEgANDk Linear Algebra Video #4: Row Echelon Form (Gaussian Elimination) Underdetermined System - Example 1 Free & Lead Variables http://www.youtube.com/watch?v=Iq2gqSmKyWY Linear Algebra Video #5: Row Echelon Form (Gaussian Elimination) Underdetermined System - Example 2 Free & Lead Variables http://www.youtube.com/watch?v=BjlevRNKHto Linear Algebra Video #6: Reduced Echelon Form - Lead & Free Variables For Square Matrices http://www.youtube.com/watch?v=2X_hl7rjuXw Linear Algebra Video #7: Matrix Multiplication - Definition And Examples Part 1 http://www.youtube.com/watch?v=owA9K0ECxVI Linear Algebra Video #7A: Matrix Multiplication Part 2 http://youtu.be/ahCG1vFE-pM Linear Algebra Video #7B: Matrix Multiplication - Part 3 http://youtu.be/Uj3CXp-xrQk Linear Algebra Video #8: Elementary Matrices & Determinants - Part 1 http://www.youtube.com/watch?v=b5JXb8fmjb4 Linear Algebra Video #9: Elementary Matrices & Determinants - Part 2 http://www.youtube.com/watch?v=U0MtU-vZZVM Linear Algebra Video #10: Nonsingular Matrix - Finding The Inverse Part 1 http://www.youtube.com/watch?v=vVNSPPwFuAY Linear Algebra Video #11: Nonsingular Matrix - Finding The Inverse Part 2 http://www.youtube.com/watch?v=xqVUtk1F9JU Linear Algebra Video #12:Linear Independence, Basis, Dimensionality & Inner Product http://www.youtube.com/watch?v=_ZEQPx_D0Y4 Linear Algebra Video #12-A: Orthogonal Vectors & Linear Independence http://youtu.be/IGfT588bRbM Linear Algebra Video #13: Column Space And Row Space http://www.youtube.com/watch?v=q4IsrAWijMg Linear Algebra Video #14: Matrix Null Space http://www.youtube.com/watch?v=B5Va1s6kKP4 Linear Algebra Video #15: Eigenvalues And Eigenvectors - Introduction & Example 1 http://www.youtube.com/watch?v=FbaJb7__wQ8 Linear Algebra Video #16: Eigenvalues & Eigenvectors Example 2 http://www.youtube.com/watch?v=CaYVdYrF0bI Linear Algebra Video #17: Matrix Diagonalization Part 1 https://www.youtube.com/watch?v=kZja1xc7dTU Linear Algebra Video #18: Matrix Diagonalization Part 2 http://www.youtube.com/watch?v=irPrz8CoN-s Linear Algebra Video #19: Complex Eigenvalues & Eigenvectors - Part 1 https://www.youtube.com/watch?v=efpuBso8ZVw Linear Algebra Video #20: Complex Eigenvalues & Eigenvectors - Part 2 http://youtu.be/xovc7OrhbBY Linear Algebra Video #21: Repeated Eigenvalues - Example 1 http://youtu.be/oeZmF1Ha7GU Linear Algebra Video#22: Repeated Eigenvalues - Example 2 http://youtu.be/Y431dmLwXmc Linear Algebra Video #23: Linear Independence Of Eigenvectors http://youtu.be/tCILKyzGJXI Linear Algebra Video #24: Eigenvalues of Symmetric Matrix http://youtu.be/ZK_xCwzzCJA Linear Algebra Video#25: Eigenvectors of Symmetric Matrix http://youtu.be/Nor2MgEGdAo Linear Algebra Video#26: Eigenvalues of Similar Matrices http://youtu.be/GSV4L08g-nk Linear Algebra Video #27: Orthogonal Matrices - Introduction http://youtu.be/BSM0BhFUc7c Linear Algebra Video #28: Orthogonal Matrices - Formal Properties Part 1 http://youtu.be/X7MSIdrOG4w Linear Algebra Video #29: Orthogonal Matrices - Formal Properties Part 2 http://youtu.be/-ViUSWLeEGo Linear Algebra Video #30: Deriving Orthogonal (Rotation) Matrix - Part 1 http://youtu.be/JP7L1Lqi5UQ Linear Algebra Video #31: Deriving Orthogonal (Rotation) Matrix - Part 2 http://youtu.be/SHuc-kALOcE Linear Algebra Video #32: Deriving Orthogonal (Rotation) Matrix - Part 3 http://youtu.be/QYhz1aNWREc Linear Algebra Video #33: Principle Axis Of Transformation - Part 1 http://youtu.be/sobgN07Nkw4 Linear Algebra Video #34: Principle Axis Of Transformation - Part 2 http://youtu.be/LKG26rW-rL4 Linear Algebra Video #35: Principle Axis Of Transformation - Part 3 http://youtu.be/t-wZ5lqM_k8 Linear Algebra Video #36: Quadratic Matrices With Two Variables http://youtu.be/1UJa-yxcdAQ Linear Algebra Video #37: Quadratic Matrices With Three Variables http://youtu.be/x1mth5PUP14 Linear Algebra Video # 38: Quadratic Forms - Translation Of Axes http://youtu.be/JZUchxrctC4 Linear Algebra Video# 39: Quadratic Forms - Rotation Of Axes Part 1 http://youtu.be/7nYmXqs4CVY Linear Algebra Video #40: Quadratic Forms - Rotation Of Axes Part 2 http://youtu.be/PMirRWycBns Linear Algebra Video #41: Quadratic Forms - Rotation & Translation Of Axes Part 1 http://youtu.be/SYCKAtVeUQc Linear Algebra Video #42: Quadratic Forms - Rotation & Translation Of Axes Part 2 http://youtu.be/V9KebB4eC0w Linear Algebra Video #43: Projection Operator - Part One Introduction http://youtu.be/F_p60XDvIls Linear Algebra Video #44: Projection Operator - Part Two Simple Example http://youtu.be/RbGOuxETLsE Linear Algebra Video #45: Projection Operator For A Subspace - Formula Derivation http://youtu.be/fWHrBGrSV_s Linear Algebra Video #46: Projection Matrix Problem - Example 1 http://youtu.be/b9wH168i09M Linear Algebra Video #47: Projection Matrix Problem - Example 2 http://youtu.be/btjr44XhxGA Linear Algebra Video #48: Overdetermined Systems & Least Squares Approach http://youtu.be/uYyYchnwgpc Linear Algebra Video #49: Normal Matrix - Fundamental Properties http://youtu.be/bDs30NB__oo Linear Algebra Video #50: Projection Matrix - Basic Properties Symmetric & Idempotent http://youtu.be/MMC7sAa0hdM Linear Algebra Video #51: Least Squares Problem http://youtu.be/fVH2u4chcpU |