alleryIf $A$ is of order $2\times 3$ and $B$ is of order $3\times 4$, then the product $AB$ is defined and has order
A$2\times 4$
B$3\times 3$
C$2\times 3$
D$4\times 2$
Answer & Solution
Correct answer: A. $2\times 4$
Matrix multiplication is possible when the number of columns of the first matrix equals the number of rows of the second.
Here, $A$ is $2\times 3$ and $B$ is $3\times 4$, so $AB$ exists and has order given by the outer numbers: $2\times 4$.
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