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If A is a nonzero square matrix of order...

If A is a nonzero square matrix of order n with `det(I+A)!=0` and `A^(3)=O` where I, O are unit and null matrices of order `nxxn` respectively then `(I+A)^(-1)=`

A

`I-A+A^(2)`

B

`I+A+A^(2)`

C

`I+A^(-1)`

D

`I+A`

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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1C MCQ (INVERSE MATRIX)
  1. If S=[(0,1,1),(1,1,1),(1,1,0)],then det of s

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  2. If A=I is 2x2 matrix then det(I+A)=

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  3. If A is a nonzero square matrix of order n with det(I+A)!=0 and A^(3)=...

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  4. If A!=I is an idempotent matrix, then A is a

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  5. If A is a singular matrix then adj A is

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  6. If A is an invertible matrix of order n, then the determinant of adj A...

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  7. If A is a nonsingular matrix of type n Adj(AdjA)=kA, then k=

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  8. If is a nonsingular matrix of type n then Adj(AdjA)=

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  9. If A is a 3xx3 matrix and det A=5 then det (AdjA)=

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  10. If A is a 4xx4 matrix and detA=-2 then det (AdjA)=

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  11. If A is a 3xx3 matrix and det(AdjA)=4 then detA=

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  12. If A is a 4xx4 matrix and det (AdjA)=-27 then detA=

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  13. If A is a nonsingular matrix, then detA^(-1)=

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  14. If A is a nonsingular matrix and B is a matrix, then detB=

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  15. If A is a square matrix such that A(AdjA)=((4,0,0),(0,4,0),(0,0,4)) th...

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  16. If P=[(1, alpha, 3),(1,3,3),(2,4,4)] is the adjoint of a 3xx3 matrix A...

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  17. If A is a square matrix of order nxxn and k is a scalar, then adj(kA)=

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  18. If A=[(cos x, sin x),(-sin x, cos x)] and AdjA=[(1,0),(0,1)] then the ...

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  19. If a is a square matrix, then adjA^(T)-(adjA)^(T)=

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  20. If A, B are two invertible matrices of same type then (AB)^(-1)=

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