If -A-m - n and -B-n - p are two matrices- then the order of AB will be n -n-

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Standard XII

Mathematics

Multiplication of Matrices

If [A]m × n a...

Question

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

True

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False

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Solution

The correct option is B
False

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.

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If [A]m×n and [B]n×p are two matrices, then the order of AB will be n ×n.

The correct option is B False 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×p where m is the number of rows of A and p is the number of columns of B.

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