alleryIf $A$ is a matrix of order $3 \times 4$ and $B$ is of order $4 \times 5$, then the order of the product $AB$ is:
A$3 \times 4$
B$4 \times 5$
C$3 \times 5$
D$5 \times 3$
Answer & Solution
Correct answer: C. $3 \times 5$
The product $A_{m \times n} \cdot B_{n \times p}$ is defined when the number of columns of $A$ equals the number of rows of $B$ ($n = 4$ here).
The result has order $m \times p = 3 \times 5$.
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