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Dimension Matrix Times Matrix
la-01-06
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randRange(2,9) randRange(2,5) randRangeExclude(2,5,[M]) randRangeExclude(2,9,[K])

Let {\color{blue}A \in M_{M \times N}} and {\color{red}B \in M_{K \times L}}. Then the product {\color{blue}A} \cdot {\color{red}B} is

an M \times L - matrix not defined.

To define the product {\color{blue}A} \cdot {\color{red}B} the number of columns of {\color{blue}A} must equal the number of rows of {\color{red}B}.

This is the case here, and the product has M rows and L columns.

Therefore {\color{blue}A} \cdot {\color{red}B} \in M_{M \times L}.

To define the product {\color{blue}A} \cdot {\color{red}B} the number of columns of {\color{blue}A} must equal the number of rows of {\color{red}B}.

This is not the case here.