Grade 12th passAlgebra
If A and B are two matrices such that B= -A-1 BA, then (A+B)2= ?
If A and B are two matrices such that B= -A-1 BA, then (A+B)2= ?
1 Answer
Arun
Approved Tutor Answer8 Years agoDear Ishita
B = –A–1 BA
hence
AB= –BA
now
(A+B)2 = (A+ B)(A + B) = A2 + B2 + AB + BA
= A2 + B2 +AB – AB
= A2 + B2
Regards
Arun (askIITians forum expert)
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