Linear Algebra And Matrix Operations

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
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