Tip:A–D to answerE for explanationV for videoS to reveal answer
If A and B are square matrices such that B=−A−1BA, then (A+B)2 is
- A.
0
- B.
A2+B2
(Correct Answer) - C.
A2+2AB+B2
Explanation
B=−A−1BA
AB=−(AA−1)BA
AB=−BA
(A+B)2=A2+B2+AB+BA=A2+B2
Explanation
B=−A−1BA
AB=−(AA−1)BA
AB=−BA
(A+B)2=A2+B2+AB+BA=A2+B2