What is the output for the following matrix multiplication $A_{3 \times 2} \times B_{2 \times 3}$ ?

(A B)_{3 \times 2}

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(A B)_{3 \times 3}

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(A B)_{2 \times 3}

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(A B)_{2 \times 2}

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Solution

The correct option is A $(A B)_{3 \times 3}$
Here $A, B$ are conformant matrices.
Therefore, $A$ is of size $3 \times 2$ , and $B$ is of size $2 \times 3$ , in which case the output is of size $3 \times 3$ and is the matrix product of $A$ and $B$ .
The result will be $(A B)_{3 \times 3} .$

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