Test Academy | If A and B are 2 × 2 matrices, then which of the following is true? (A + B)² = A² + B² + 2AB, (A – B)² = A² + B² – 2AB, (A – B)(A + B) = A² + AB – BA – B², (A + B) (A – B) = A²

Question

If A and B are 2 × 2 matrices, then which of the following is true?

Options :

(A + B)² = A² + B² + 2AB
(A – B)² = A² + B² – 2AB
(A – B)(A + B) = A² + AB – BA – B²
(A + B) (A – B) = A² – B²

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