##### Mutiplication of matrices

label Algebra
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Nov 21st, 2015

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D is a 2x2 matrix and C is a 2x3 matrix.

Since the number of columns of D = number of rows of C = 2, we can multiply the 2 matrices.

So DC will be a 2x3 matrix.

$\\ DC=\begin{bmatrix} 6 &-6 \\ 4 &-5 \end{bmatrix} \begin{bmatrix} 7 &5 &-1 \\ 2 &5 &0 \end{bmatrix}\\ \\ \\ DC=\begin{bmatrix} 6\times7-6\times2 &6\times5-6\times5 &6\times(-1)-6\times0 \\ 4\times7-5\times2 &4\times5-5\times5 &4\times(-1)-5\times0 \end{bmatrix}\\ \\ \\ DC=\begin{bmatrix} 42-12 &30-30 &-6 \\ 28-10 &20-25 &-4 \end{bmatrix}\\ \\ \\ DC=\begin{bmatrix} 30 &0 &-6 \\ 18 &-5 &-4 \end{bmatrix}\\ \\$

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Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 21st, 2015

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Nov 21st, 2015
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Nov 21st, 2015
Sep 26th, 2017
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