If AB = C,then the dimensions of matrices A, | vedclass

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(B) For the matrix multiplication $AB = C$ to be defined,the number of columns in matrix $A$ must be equal to the number of rows in matrix $B$. If $A$

Vedclass · Accepted Answer

$A_{3 	imes 2}, B_{2 	imes 3}, C_{3 	imes 3}$

Vedclass · Answer

(B) For the matrix multiplication $AB = C$ to be defined,the number of columns in matrix $A$ must be equal to the number of rows in matrix $B$. If $A$ is an $m 	imes n$ matrix and $B$ is an $n 	imes p$ matrix,then the resulting matrix $C$ will have the dimensions $m 	imes p$. Looking at option $B$: If $A$ is $3 	imes 2$ and $B$ is $2 	imes 3$,then $C$ must be a $3 	imes 3$ matrix. Therefore,the correct dimensions are $A_{3 	imes 2}, B_{2 	imes 3}, C_{3 	imes 3}$.

If $AB = C$,then the dimensions of matrices $A, B, C$ are:

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