Difference between revisions of "2.1"
Tim Cobler (talk | contribs) (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...") |
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You can only add two matrices of the same dimensions. If the matrices are of different dimensions then the sum is not defined. | You can only add two matrices of the same dimensions. If the matrices are of different dimensions then the sum is not defined. | ||
| − | <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> | + | <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> |
When two matrices are of the same dimension, then to add the two matrices you simply add each of the corresponding components. | When two matrices are of the same dimension, then to add the two matrices you simply add each of the corresponding components. | ||
| − | <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> | + | <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> |
Latest revision as of 22:13, 29 March 2015
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.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix} + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = \text{not defined}}
When two matrices are of the same dimension, then to add the two matrices you simply add each of the corresponding components.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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}}