DeterminantHard
Question
If A and B are two square matrices such that B = - A-1 BA, then (A + B)2 =
Options
A.0
B.A2 + B2
C.A2 + 2AB + B2
D.A + B
Solution
B = - A-1 BA
AB = -AA-1 BA
AB = - BA
AB + BA = 0
(A + B)2 = A2 + B2
AB = -AA-1 BA
AB = - BA
AB + BA = 0
(A + B)2 = A2 + B2
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