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1 <!DOCTYPE html> 2 <html> 3 <head> 4 <script type="text/javascript" async src="https://cdn.jsdelivr.net/gh/mathjax/MathJax@2.7.5/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> 5 <link rel="Stylesheet" type="text/css" href="style.css"> 6 <title>index</title> 7 <meta http-equiv="Content-Type" content="text/html; charset=utf-8"> 8 </head> 9 <body> 10 11 <div id="Linear Algebra"> 12 <h1 id="Linear Algebra">Linear Algebra</h1> 13 <h3 class="name">Alex Balgavy</h3> 14 </div> 15 <p> 16 If you need help with any of the topics, check out <a href="https://www.youtube.com/user/patrickJMT">PatrickJMT on Youtube</a>. He has some of the best math videos on the internet. 17 </p> 18 19 <ul> 20 <li> 21 <a href="introduction.html#Introduction">Introduction</a> 22 23 <ul> 24 <li> 25 <a href="introduction.html#Introduction-Linear Equations">Linear Equations</a> 26 27 <li> 28 <a href="introduction.html#Introduction-Matrix notation">Matrix notation</a> 29 30 <li> 31 <a href="introduction.html#Introduction-Reducing a matrix">Reducing a matrix</a> 32 33 <li> 34 <a href="introduction.html#Introduction-Vectors">Vectors</a> 35 36 </ul> 37 <li> 38 <a href="solution-sets-of-linear-systems.html#Solution sets of linear systems">Solution sets of linear systems</a> 39 40 <ul> 41 <li> 42 <a href="solution-sets-of-linear-systems.html#Solution sets of linear systems-Homogeneous linear systems">Homogeneous linear systems</a> 43 44 <li> 45 <a href="solution-sets-of-linear-systems.html#Solution sets of linear systems-Parametric vector form">Parametric vector form</a> 46 47 <li> 48 <a href="solution-sets-of-linear-systems.html#Solution sets of linear systems-Linear independence">Linear independence</a> 49 50 </ul> 51 <li> 52 <a href="linear-transformations.html#Linear transformations">Linear transformations</a> 53 54 <li> 55 <a href="matrix-operations.html#Matrix operations">Matrix operations</a> 56 57 <ul> 58 <li> 59 <a href="matrix-operations.html#Matrix operations-Sums and scalar multiples">Sums and scalar multiples</a> 60 61 <li> 62 <a href="matrix-operations.html#Matrix operations-Powers of a matrix">Powers of a matrix</a> 63 64 <li> 65 <a href="matrix-operations.html#Matrix operations-Transpose of a matrix">Transpose of a matrix</a> 66 67 <li> 68 <a href="matrix-operations.html#Matrix operations-Inverse of a matrix">Inverse of a matrix</a> 69 70 <li> 71 <a href="matrix-operations.html#Matrix operations-Elementary matrices">Elementary matrices</a> 72 73 </ul> 74 <li> 75 <a href="applications-to-computer-graphics.html#Applications to computer graphics">Applications to computer graphics</a> 76 77 <ul> 78 <li> 79 <a href="applications-to-computer-graphics.html#Applications to computer graphics-Homogeneous coordinates">Homogeneous coordinates</a> 80 81 <ul> 82 <li> 83 <a href="applications-to-computer-graphics.html#Applications to computer graphics-Homogeneous coordinates-2D">2D</a> 84 85 <li> 86 <a href="applications-to-computer-graphics.html#Applications to computer graphics-Homogeneous coordinates-3D">3D</a> 87 88 </ul> 89 <li> 90 <a href="applications-to-computer-graphics.html#Applications to computer graphics-Composite transformations">Composite transformations</a> 91 92 <li> 93 <a href="applications-to-computer-graphics.html#Applications to computer graphics-Perspective projections">Perspective projections</a> 94 95 </ul> 96 <li> 97 <a href="vector-spaces.html#Vector spaces">Vector spaces</a> 98 99 <ul> 100 <li> 101 <a href="vector-spaces.html#Vector spaces-Column space and null space of a matrix">Column space and null space of a matrix</a> 102 103 <li> 104 <a href="vector-spaces.html#Vector spaces-Basis for a subspace">Basis for a subspace</a> 105 106 <li> 107 <a href="vector-spaces.html#Vector spaces-Coordinates">Coordinates</a> 108 109 <li> 110 <a href="vector-spaces.html#Vector spaces-Dimension of a subspace">Dimension of a subspace</a> 111 112 </ul> 113 <li> 114 <a href="eigenvectors-eigenvalues.html#Eigenvectors & eigenvalues">Eigenvectors & eigenvalues</a> 115 116 <ul> 117 <li> 118 <a href="eigenvectors-eigenvalues.html#Eigenvectors & eigenvalues-Determinant">Determinant</a> 119 120 <li> 121 <a href="eigenvectors-eigenvalues.html#Eigenvectors & eigenvalues-Similarity">Similarity</a> 122 123 <li> 124 <a href="eigenvectors-eigenvalues.html#Eigenvectors & eigenvalues-Diagonalization">Diagonalization</a> 125 126 </ul> 127 <li> 128 <a href="orthogonality-least-squares.html#Orthogonality & least squares">Orthogonality & least squares</a> 129 130 <ul> 131 <li> 132 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Inner (dot) product & uses">Inner (dot) product & uses</a> 133 134 <ul> 135 <li> 136 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Inner (dot) product & uses-Length of a vector">Length of a vector</a> 137 138 <li> 139 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Inner (dot) product & uses-Distance between vectors">Distance between vectors</a> 140 141 </ul> 142 <li> 143 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Orthogonal complement">Orthogonal complement</a> 144 145 <li> 146 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Orthogonal sets">Orthogonal sets</a> 147 148 <li> 149 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Orthogonal projections">Orthogonal projections</a> 150 151 <ul> 152 <li> 153 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Orthogonal projections-Orthogonal decomposition">Orthogonal decomposition</a> 154 155 <li> 156 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Orthogonal projections-Best approximation">Best approximation</a> 157 158 <li> 159 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Orthogonal projections-When basis for W is an orthonormal set">When basis for W is an orthonormal set</a> 160 161 </ul> 162 <li> 163 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Gram-Schmidt process">Gram-Schmidt process</a> 164 165 <ul> 166 <li> 167 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Gram-Schmidt process-QR factorization">QR factorization</a> 168 169 </ul> 170 <li> 171 <a href="orthogonality-least-squares.html#Orthogonality & least squares-Least-squares problems">Least-squares problems</a> 172 173 </ul> 174 <li> 175 <a href="symmetric-matrices.html#Symmetric matrices">Symmetric matrices</a> 176 177 <ul> 178 <li> 179 <a href="symmetric-matrices.html#Symmetric matrices-Diagonalization of symmetric matrices">Diagonalization of symmetric matrices</a> 180 181 <li> 182 <a href="symmetric-matrices.html#Symmetric matrices-Singular value decomposition">Singular value decomposition</a> 183 184 </ul> 185 </ul> 186 187 </body> 188 </html>