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Select the correct option from the given alternatives. Let `A = [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]]`, if `abs(A^2) = 25`, then `abs(alpha) = ` i] `frac{1}{5}` ii] `5` iii] `5^2` iv] `1`

A

`frac{1}{5}`

B

`5`

C

`5^2`

D

`1`

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CHETANA PUBLICATION-Matrices-EXERCISE
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  7. Select the correct option from the given alternatives. Let A = [[5,5al...

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  8. Select and write the most appropriate answer from the given alternativ...

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  11. Attempt the following: If A= [[1,0,0],[2,1,0],[3,3,1]] then reduce it ...

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  12. [[-1,2],[-3,4]] Find the co-factors of the elements of the matrices.

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  13. A = [[2,-3],[3,5]] Find the adjoint of the matrices.

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  14. If A = [[x,0,0],[0,y,0],[0,0,z]], is a non-singular matrix then find A...

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  15. Find A^-1 by elementary row transformations for A = [[1,2,3],[1,1,5],[...

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  16. If A = [[1,0,1],[0,2,3],[1,2,1]] and B = [[1,2,3],[1,1,5],[2,4,7]], th...

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  17. The cost of 2 books and 6 note books is Rs. 34 and the cost of 3 books...

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  18. Solve the following equations by the method of reduction: x+3y+3z = 12...

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  19. IfA=[[4,5],[2,1]], then show that A^-1 = frac{1}{6}(A-5I).

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  20. Attempt the following: If A= [[2,3],[1,2]], B = [[1,0],[3,1]]. Find AB...

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