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If A=[(cos alpha, - sin alpha, 0),(sin a...

If `A=[(cos alpha, - sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)]` then `(AdjA)^(T)=`

A

`[(cos alpha, - sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)]`

B

`[(- cos alpha, -sin alpha, 0),(sin alpha, - cos alpha, 0),(0,0,1)]`

C

`[(- cos alpha, sin alpha, 0),(sin alpha, - cos alpha, 0),(0,0,1)]`

D

`[(1,0,0),(0,cos alpha, -sin alpha),(0, sin alpha, cos alpha)]`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1C MCQ (INVERSE MATRIX)
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  2. If A=[(0,1,-1),(2,1,3),(3,2,1)] then [A(adjA)A^(-1)]A=

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  3. If A=[(cos alpha, - sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)] t...

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  4. If A=[(1,1,1),(2,4,1),(2,3,1)],B=[(2,3),(3,4)] then the matrix BA is

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  5. If S=[(0,1,1),(1,1,1),(1,1,0)],then det of s

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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