If $A$ is a matrix of order $3 imes 4$ and $B$ is of order $4 imes…

Question

If $A$ is a matrix of order $3 	imes 4$ and $B$ is of order $4 	imes 5$, then the order of the product $AB$ is:

Accepted Answer

C. $3 	imes 5$

The product $A_{m 	imes n} \cdot B_{n 	imes p}$ is defined when the number of columns of $A$ equals the number of rows of $B$ ($n = 4$ here). The result has order $m 	imes p = 3 	imes 5$.

Answer

$3 	imes 4$

Answer

$4 	imes 5$

Answer

$5 	imes 3$

If $A$ is a matrix of order $3 \times 4$ and $B$ is of order $4 \times 5$, then the order of the product $AB$ is: