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If A and B are square matrices of same order such that (A + B)² = A²+ B² + 2AB, then

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AB = BA

A = B

A = B'

A = -B

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detailed solution

Correct option is A

We have,(A + B)2 = A2 + B2 + 2AB⇒ (A + B) (A + B) = A2 + B2 + 2AB⇒ A2 + AB + BA + B2 =A2 + B2 + 2AB⇒ BA = AB

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If A and B are square matrices of same order such that (A + B)2 = A2 + B2 + 2AB, then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If A and B are square matrices of same order such that (A + B)² = A²+ B² + 2AB, then