First slide

Operations of matrix

Question

If A and B are two matrices such that A + B and AB are both defined, then

Moderate

A

A and B are two matrices not necessarily of same order
B

A and B are square matrices of same order
C

number of columns of A = number of rows of B
D

None of these

Solution

Both matrices are of same order for A + B to be defined. Now let both are of order m × n. But AB is defined only
when number of columns in A is same as number of rows in B. So both are square matrices of same order.

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