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If A and B are two square matrices such ...

If A and B are two square matrices such that `B=-A^(-1)BA`, then `(A+B)^(2)` is equal to

A

0

B

`A^(2)+B^(2)`

C

`A^(2)+2AB+B^(2)`

D

`A+B`

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The correct Answer is:
B
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TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
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  3. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

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  4. If A and B are square matrices of the same order and A is non-singular...

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  5. Let for any matrix M,M^(-1) exists, which of the followint is not true...

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  6. If A=[(2,2),(-3,2)], B=[(0,-1),(1,0)] then (B^(-1)A^(-1))^(-1) is equa...

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  7. IF A =[(1,2,3),(-1,1,2),( 1,2,4)]"then " (A^(2) -5A) A^(-1)=

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  8. If [(1,1),(-1,1)] [(x),(y)]=[(2),(4)], then the values of x and respec...

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  9. If [(1,2,-3),(0,4,5),(0,0,1)][(x),(y),(z)]=[(1),(1),(1)], then (x, y, ...

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  10. The solutiion of (x,y,z) the equation [(-1,0,1),(-1,1,0),(0,-1,1)][(x)...

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  11. If [{:(1,1,1),(1,-2,-2),(1,3,1):}][{:(x),(y),(z):}]=[{:(0),(3),(4):}],...

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  12. If [(1,3,3),(1,4,4),(1,3,4)][(x),(y),(z)]=[(12),(15),(13)] , then the ...

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  13. Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1...

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  14. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

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  15. If A=[(cos theta,sin theta,0),(-sin theta,cos theta,0),(0,0,1)], where...

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  16. If A=[(1,tan(theta/2)),(-tan(theta/2),1)] and AB=I, then B= (A) {cos^2...

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  17. Let F(alpha)=[cosalpha-s inalpha0s inalphacosalpha0 0 0 1],w h e r eal...

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  18. If A=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha,0),(0,0,1)] the...

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  19. If A is an 3x3 non-singular matrix such that AA^(prime)-A^(prime)A a n...

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  20. Let Ma n dN be two 3xx3 non singular skew-symmetric matrices such that...

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