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If A is a nonsingular matrix of type n A...

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

A

0

B

detA

C

`(detA)^(n)`

D

`(detA)^(n-2)`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1C MCQ (INVERSE MATRIX)
  1. If A is a singular matrix then adj A is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Which of the following statements is false:

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  18. If A and B are two square matrices such that B=-A^(-1)BA then (A+B)^(2...

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  19. If the matrix A=[(1,2),(3,4)] then I+A+A^(2)+………… up to infinitey

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  20. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a matr...

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