First slide

Operations of matrix

Question

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

Moderate

A

AB = BA
B

A = B
C

A = B'
D

A = -B

Solution

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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