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Question

For two square matrices A and B of the same order, (A+B)(AB) = A2B2.


A

True

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B

False

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Solution

The correct option is B

False


Given that A and B are square matrices of the same order.
(A+B)(AB)=A2AB+BAB2---------(1)
We know that matrix multiplication is not commutative.
i.e, ABBA --------(2)
So using (1) and (2) for a geenral case,
(A+B)(AB)A2B2.
Therefor the given statement is false.

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