## Related questions with answers

Question

If a matrix A is $5 \times 3$ and the product AB is $5 \times 7$, what is the size of B?

Solution

VerifiedAnswered 11 months ago

Answered 11 months ago

Step 1

1 of 2Let $A$ be $5 \times 3$ matrix then the product $AB$ is $5 \times 7$. Since to multiply two matrices the number of columns of the first matrix, must equal the number of rows of the second matrix then matrix $B$ must be $3 \times 7$ matrix.

Hence, $B$ is $3 \times 7$ matrix.

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