https://gradwiki.math.ucr.edu/api.php?action=feedcontributions&feedformat=atom&user=Tim+CoblerGrad Wiki - User contributions [en]2026-04-20T15:51:47ZUser contributionsMediaWiki 1.35.0https://gradwiki.math.ucr.edu/index.php?title=2.1&diff=2632.12015-03-30T05:13:08Z<p>Tim Cobler: </p>
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<div>Matrix Operations<br />
<br />
==Addition of Matrices==<br />
You can only add two matrices of the same dimensions. If the matrices are of different dimensions then the sum is not defined. <br />
<br />
<math>\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix} + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = \text{not defined}</math><br />
<br />
When two matrices are of the same dimension, then to add the two matrices you simply add each of the corresponding components.<br />
<br />
<math>\begin{bmatrix} 1 & -5 & 4 \\ 3 & 2 & -8 \\ 5 & -1 & -3\end{bmatrix} + \begin{bmatrix} 4 & 7 & 2\\ 1 & 5 & 7 \\ -3 & 2 & 5\end{bmatrix} = \begin{bmatrix} 5 & 2 & 6 \\ 4 & 7 & -1 \\ 2 & 1 & 2 \end{bmatrix}</math></div>Tim Coblerhttps://gradwiki.math.ucr.edu/index.php?title=2.1&diff=2622.12015-03-30T05:11:29Z<p>Tim Cobler: Created page with "Matrix Operations ==Addition of Matrices== You can only add two matrices of the same dimensions. If the matrices are of different dimensions then the sum is not defined. <m..."</p>
<hr />
<div>Matrix Operations<br />
<br />
==Addition of Matrices==<br />
You can only add two matrices of the same dimensions. If the matrices are of different dimensions then the sum is not defined. <br />
<br />
<math>\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix} + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = not defined</math><br />
<br />
When two matrices are of the same dimension, then to add the two matrices you simply add each of the corresponding components.<br />
<br />
<math>\begin{bmatrix} 1 & -5 & 4 \\ 3 & 2 & -8 \\ 5 & -1 & -3\end{bmatrix} + \begin{bmatrix} 4 & 7 & 2\\ 1 & 5 & 7 \\ -3 & 2 & 5\end{bmatrix} = \begin{bmatrix} 5 & 2 & 6 \\ 4 & 7 & -1 \\ 2 & 1 & 2 \end{bmatrix}/math></div>Tim Coblerhttps://gradwiki.math.ucr.edu/index.php?title=31&diff=261312015-03-30T05:07:36Z<p>Tim Cobler: /* Chapter 2 Problems */</p>
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<div>== Work In Progress ==<br />
<br />
== Sample Matrix Code in Latex ==<br />
The code for a matrix with the bracket style is<br />
\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix}<br />
and if you want it to be parenthesis style switch bmatrix to pmatrix<br />
<br />
== Chapter 2 Problems ==<br />
[[2.1]] Matrix Operations<br />
[[2.2]] The Inverse of a Matrix<br />
[[2.3]] Characterization of Inverse Matrices<br />
[[2.5]] Matrix Factorization</div>Tim Coblerhttps://gradwiki.math.ucr.edu/index.php?title=31&diff=260312015-03-30T05:05:37Z<p>Tim Cobler: </p>
<hr />
<div>== Work In Progress ==<br />
<br />
== Sample Matrix Code in Latex ==<br />
The code for a matrix with the bracket style is<br />
\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix}<br />
and if you want it to be parenthesis style switch bmatrix to pmatrix<br />
<br />
== Chapter 2 Problems ==<br />
Chapter 2</div>Tim Coblerhttps://gradwiki.math.ucr.edu/index.php?title=31&diff=259312015-03-30T05:04:42Z<p>Tim Cobler: </p>
<hr />
<div>== Work In Progress ==<br />
<br />
== Sample Matrix Code in Latex ==<br />
The code for a matrix with the bracket style is<br />
\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix}<br />
and if you want it to be paranthesis style switch bmatrix to pmatrix</div>Tim Coblerhttps://gradwiki.math.ucr.edu/index.php?title=31&diff=258312015-03-30T05:03:45Z<p>Tim Cobler: Created page with "Work In Progress Sample Matrix Code in Latex The code for a matrix with the bracket style is \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix} and if you want..."</p>
<hr />
<div>Work In Progress<br />
<br />
Sample Matrix Code in Latex<br />
The code for a matrix with the bracket style is<br />
\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix}<br />
and if you want it to be paranthesis style switch bmatrix to pmatrix</div>Tim Cobler