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If A is a non-singular matrix such that ...

If A is a non-singular matrix such that `A^(-1)=[(5,3),(-2,-1)], "then" (A^(T))^(-1)`=

A

`[[-5,3],[2,1]]`

B

`[[5,3],[-2,-1]]`

C

`[[-1,-3],[2,5]]`

D

`[[5,-2],[3,-1]]`

Text Solution

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The correct Answer is:
D
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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -SOLUTION TO EXERCISE 1.8
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  6. If A^(T).A^(-1) is symmetric, then A^(2)=

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  8. A = [((3)/(5),(4)/(5)),(x,(3)/(5))] "and" A^(T)=A^(-1), then the value...

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  10. If A=[[cos theta,sin theta],[-sin theta,cos theta]] and A(adj A)=[[k,0...

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  11. If A=[(2,3),(5,-2)] be such that lambdaA^(-1) = A, then lambda is

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  15. Which of the following is/are correct ? (i) Adjoint of a symmetric m...

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  16. If rho (A) = rho ([A|B]), then the system AX = B of linear equations i...

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  18. The augmented matrix of a system of linear equations is [(1,2,7,3),(0,...

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  19. Let A =[(2,-1,1),(-1,2,-1),(1,-1,2)] "and" 4B=[(3,1,-1),(1,3,x),(-1,1,...

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  20. If A = [(3,-3,4),(2,-3,4),(0,-1,1)], then adj (adj A) is

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