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If for a matrix A, A^5=I, then A^-1=...

If for a matrix `A`, `A^5=I`, then `A^-1=`

A

`A^2`

B

`A^3`

C

`A`

D

none of these

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD-LONG ANSWER TYPE QUESTIONS
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  6. Solve by matrix inversion method the following system of equations. ...

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  7. If A=[(1,0,0),(0,1,0),(0,0,1)] then A^2+2A=

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  8. If A is a 3×3 matrix and B is it's adjoint matrix. if |B|=64, then |A|...

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  9. If A and B are symmetric matrices then

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  10. From the matrix equation AX = B, find X, given A = [(1,-1),(2,1)] an...

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  11. If 1, omega,omega^(2) are the cube roots of unity then the vlue of m f...

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  12. Given A = [(1,2,3),(3,-2,1),(4,2,1)] , X = [(x),(y),(z)] and B = [(1),...

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  13. If A = [(1,2),(-2,2)] find A^(T).

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  14. If A={:[(4,2),(-1,1)]:} then (A-2I)(A-3I) is equal to

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  15. Find the product [(1,-1,0),(2,3,4),(0,1,2)] xx [(2,2,-4),(-4,2,-4),(2,...

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  16. Let A = [(2,8),(1,1)], find A^(-1).

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  17. If A=[(0,1),(1,0)],then A^4=

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  18. Prove that the equations kx + y + z = 1, x + ky + z = k and x + y + kz...

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  19. If for a matrix A, A^5=I, then A^-1=

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  20. If A = [(3,1),(4,-1)], then find A^(-1).

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