Question

If $[A{]}_{m\times n}$ and $[B{]}_{n\times p}$ are two matrices, then the order of $AB$ will be

• A. $n\times n$
• B. $m\times p$
• C. $m\times n$
• D. $p\times p$

Answer 1

The correct option is B $m\times p$

If two matrices A & B are multiplied then the resultant matrix AB will have the same number of rows as A has and same number of columns as B. So the order of resultant matrix AB will be m$\times$p where m is the number of rows of A and p is the number of columns of B.