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If A^T=[[cosx,sinx],[-sinx,cosx]],Verify...

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

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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. For matrics A and B, verify that (AB)^T=B^T . A^T, where A=[[0],[1],...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If A=[[cos alpha, -sin alpha],[sin alpha, cos alpha]], then A+A^T=I if...

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  16. Find P^(-1), if it exists, given P = [(10,-2),(-5,1)]

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  17. Using elementry transformation, find the inverse of the matrices. Co...

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  18. Using elementary transformation find the inverse of the matrix [[2,1]...

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  19. Using elementry transformation, find the inverse of the matrices. A=...

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  20. Find the inverse of the following using elementary transformations. A=...

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