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Questions  

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

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

detailed solution

Correct option is B

Both matrices are of same order for A + B to be defined. Now let both are of order m × n. But AB is defined onlywhen 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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