Question

Asked Sep 25, 2019

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Suppose matrix A is m×n and B is n×p. If the first row of matrix A is all zeros, what can you say about the first row of AB? Explain.

Step 1

*Explanation:*

Since matrix A is m×n and matrix B is n×p, the matrix *AB *will be m×p.

In order to get the first element in the first row of matrix *AB*, multiply the first row of *A* with the first column of *B*.

Since the first row of *A *is all 0, the first element in the first row of matrix *AB* will be 0*.*

Similarly, ...

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