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Question

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

A
A and B can be any matrices
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B
A, B are square matrices not necessarily of the same order
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C
A,B are square matrices of the same order
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D
number of columns of A= number of rows of B
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Solution

The correct option is C A,B are square matrices of the same order
Let A and B both have a matrices of order m×n
Also AB is defined, it means m=n
Hence A and B are square matrices of same order

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