If A and B are 2 × 2 matrices, then which of the following is true?
A. (A + B)² = A² + B² + 2AB
B. (A – B)² = A² + B² – 2AB
C. (A – B)(A + B) = A² + AB – BA – B²
D. (A + B) (A – B) = A² – B²
Answer:A
If A and B are 2 × 2 matrices, then which of the following is true?
A. (A + B)² = A² + B² + 2AB B. (A – B)² = A² + B² – 2AB C. (A – B)(A + B) = A² + AB – BA – B² D. (A + B) (A – B) = A² – B²