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If A=[(cos x, sin x),(-sin x, cos x)] an...

If `A=[(cos x, sin x),(-sin x, cos x)]` and `AdjA=[(1,0),(0,1)]` then the value of k is

A

`sin x cos x`

B

1

C

2

D

3

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1C MCQ (INVERSE MATRIX)
  1. If P=[(1, alpha, 3),(1,3,3),(2,4,4)] is the adjoint of a 3xx3 matrix A...

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

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

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

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

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  6. Which of the following statements is false:

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

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

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

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  10. A square nonsingular matrix satisfies A^(2)-A+2I=0 then A^(-1)=

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  11. A is a square matrix satisfying the equation A^(2)-4A-5I=O. Then A^(-1...

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  12. If for a matrix A,A^(2)+I=O where I is the indentity matrix, then A=

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  13. If A=[(a,b),(0,c)] then A^(-1)+(A-aI)(A-cI)=

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  14. If A=[(2,-1,1),(-1,2,-1),(1,-1,2)] then A^(2)=

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  15. If A=[(2,1,1),(1,3,1),(1,2,1)] then A^(T)=

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  16. Let A and B be two invertible matrices of order 3×3. If det (ABA^T)=8 ...

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  17. If A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)+b^(2)+c^(2)+d^(2) =1, then fi...

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  18. If A and B are square matrices of order 3 such that detA=-1,detB=3 th...

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  19. The inverse of a symmetric (if it exists) is

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  20. The inverse of a skew symmetric matrix. (if it exists ) is

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