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

If A= `[[-1,2,3],[5,7,9],[-2,1,1]]` and B=`[[-4,1,-5],[1,2,0],[-1,3,1]]`
then verify that
`(A-B)^T = A^T-B^T`

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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. Find the transpose of each of each of the following matrics: [[-1,5,...

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  2. If A= [[-1,2,3],[5,7,9],[-2,1,1]] and B=[[-4,1,-5],[1,2,0],[-1,3,1]] ...

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  3. If A= [[-1,2,3],[5,7,9],[-2,1,1]] and B=[[-4,1,-5],[1,2,0],[-1,3,1]] ...

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  4. If A= [[-1,2,3],[5,7,9],[-2,1,1]] and B=[[-4,1,-5],[1,2,0],[-1,3,1]] ...

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  5. If A^T=[[3,4],[-1,2],[0,1]] and B=[[-1,2,1],[1,2,3]] then verify that ...

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  6. If A^T=[[-2,3],[1,2]] and B^T=[[-1,0],[1,2]] then find (A+2B)^T

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  7. For matrics A and B, verify that (AB)^T=B^T . A^T, where A=[[0],[1],...

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  8. For matrics A and B, verify that (AB)^T=B^T . A^T, where A=[[0],[1],...

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  9. If A^T=[[cosx,sinx],[-sinx,cosx]],Verify that A^TA=I

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

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

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  12. show that the matrix A=[[0,1,-1],[-1,0,1],[1,-1,0]] is a skew symmetri...

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  13. For the matrixA=[[1,5],[6,7]], verify that A+A^T is a symmetric matr...

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  14. For the matrixA=[[1,5],[6,7]], verify that A-A^T is a skew symmetric...

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  15. Find 1/2 (A+A^T) and 1/2(A-A^T) where A=[[0,a,b],[-a,0,c],[-b,-c,0]]

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  16. Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric ...

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  17. Express the following matrices as the sum of a Symmetric and a Skew Sy...

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  18. Express the following matrices as the sum of a Symmetric and a Skew Sy...

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  19. Express the following matrics as the sum of a symmetrics and a skew sy...

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  20. If A,B are symmetric matrices of same order then AB-BA is always a ………...

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