Question

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

Options :

  1. (A + B)² = A² + B² + 2AB

  2. (A – B)² = A² + B² – 2AB

  3. (A – B)(A + B) = A² + AB – BA – B²

  4. (A + B) (A – B) = A² – B²

Show Answer

Answer :

(A – B)(A + B) = A² + AB – BA – B²

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