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If A=[[3,-2],[4,-2]] and I=[[1,0],[0,1]]...

If `A=[[3,-2],[4,-2]]` and `I=[[1,0],[0,1]]`, find k so that `A^2=kA-2I`

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V PUBLICATION-MATRICES-QUESTION BANK
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  2. If A=[[1, 0, 2],[ 0, 2, 1],[ 2, 0, 3]], prove that A^3-6 A^2+7...

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  3. If A=[[3,-2],[4,-2]] and I=[[1,0],[0,1]], find k so that A^2=kA-2I

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  8. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx...

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  9. If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4...

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  10. If A=[[-2],[4],[5]] B=[[1,3,6]] (AB)^T=B^TA^T

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  11. For any square matrix A with real number entries.Prove that A+A^' is a...

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  12. Prove that any square matrix can be expressed as the sum of a symmetic...

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  13. Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a ...

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  14. Find the transpose of each of the following matrices: (i) [[5], [1/2]...

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  15. If A=[[-1, 2, 3],[ 5, 7, 9],[ -2, 1 , 1]] and B=[[-4 , 1, -5],[ ...

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  16. If A^'=[[3, 4],[ -1, 2],[ 0, 1]] and B=[[-1, 2 , 1],[ 1,2, 3]] ...

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  17. If A^'=[[-2, 3],[ 1, 2]] and B=[[-1, 0],[ 1, 2]], then find (A+2...

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  18. For the matrices A and B verify that, (AB)^'=B^' A^', where i) A=[[1...

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  19. if A=[[sin alpha, cos alpha],[-cos alpha, sin alpha]], then verify A^T...

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  20. show that the matrix A= [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric mat...

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