Home
Class 12
MATHS
If the two matrices A,B,(A+B) are non-si...

If the two matrices A,B,(A+B) are non-singular (where A and B are of the same order), then `(A(A+B)^(-1)B)^(-1)` is equal to (A) `A+B` (B) `A^-1+B^-1` (C) `(A+B)^-1` (D) `AB`

Promotional Banner

Similar Questions

Explore conceptually related problems

If A,B,C are non - singular matrices of same order then (AB^(-1)C)^(-1)=

If A, B are two non-singular matrices of same order, then

If the matrices, A ,B ,(A+B) are non-singular, then prove that [A(A+B)^(-1)B]^(-1)=B^(-1)+A^(-1) .

If the matrices, A ,B ,(A+B) are non-singular, then prove that [A(A+B)^(-1)B]^(-1)=B^(-1)+A^(-1) .

If A and B are non-singular square matrices of same order then adj(AB) is equal to

If A and B are square matrices of the same order such that A=-B^(-1)AB then (A+3B)^(2) is equal to

If A and B are square matrices of the same order such that A=-B^(-1)AB then (A+3B)^(2) is equal to

If A and B are two non-singular matrices which commute, then (A(A+B)^(-1)B)^(-1)(AB)=

If A and B are two non-singular matrices which commute, then (A(A+B)^(-1)B)^(-1)(AB)=

If A and B are two non-singular matrices which commute, then (A(A+B)^(-1)B)^(-1)(AB)=