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0 votes
1.7k views
in Trigonometry by (41.6k points)

If the matrices A, B, (A + B) are non-singular, then [A(A+ B)-1 B]-1  is equal to

(A) A + B

(B) A-1 + B-1

(C) (A + B) -1

(D) None of these 

1 Answer

+1 vote
by (41.4k points)
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Best answer

Answer is (D) None of these

[A(A + B)-1B]-1 = B-1(A + B)A-1 which cannot be simplified further, in general. 

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