Back to Vector and Matrix Quantities — Problem 3 · Task Set 31

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Grade 9·12 problems·~15 min·Common Core Math - HS Number and Quantity·domain·vm

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Concepts

Matrix $A$ has 3 rows and 4 columns. Matrix $B$ has 4 rows and
2 columns. Which statement about the product $AB$ is correct?

$AB$ is a $4 \times 4$ matrix because the inner dimension is 4.

$AB$ is a $3 \times 2$ matrix because the outer dimensions are 3 and 2.

$AB$ is undefined because $A$ has fewer rows than $B$ .

$AB$ is a $4 \times 2$ matrix because columns of $A$ times rows of $B$ .