## Related questions with answers

Question

Is it possible for a $2 \times 3$ matrix to equal a $3 \times 2$ matrix? Explain.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2No.

For the two matrices to be equal, we must have corresponding entries equal.

Therefore, they must be of the same dimensions to make sure we can set corresponding entries equal.

$\begin{align*} 2 \times 3 \ne 3\times 2 \end{align*}$

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