# Chapter 3 Linear Systems and Matrices - 3.6 Multiplying Matrices - Guided Practice for Example 1 - Page 195: 1

Yes, $5\times2$

#### Work Step by Step

If the dimensions of matrix A are $a\times b$ and the dimensions of matrix C are $c\times d$, then AC is defined if $b=c$ and then AC has dimensions $a\times d.$ Hence here the requirement is satisfied, and thus AB has dimensions $5\times2$.

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