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Find 1/2 (A+A^T) and 1/2(A-A^T) where A=...

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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V PUBLICATION-MATRICES-QUESTION BANK
  1. show that the matrix A= [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric mat...

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  2. For the matrix A=[[1 , 5],[ 6 , 7]], verify that i) (A+A^') is a sym...

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

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  5. If A, B are symmetric matrices of same order, then AB-BA is a A) skew...

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

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

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  8. Find the inverse of each of the matrices using elementary operations [...

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

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

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

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  12. Using elementry transformation, find the inverse of the matrices. A ...

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  13. Find the inverse of the each of the matrices using elementary transfor...

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  14. Find the inverse of each of the following using elementary transformat...

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  15. Find the inverse of A=[[2,-6],[1,-2]]

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  16. Find the inverse of each of the following using elementary transformat...

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  17. Find the inverse of the following using elementary transformations[[2,...

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  18. Find the inverse of the following matrices if it exists.[[2, 1],[ 4,...

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  19. If A=[[cos theta, sin theta],[ -sin theta, cos theta]], then prove ...

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  20. If A and B are symmetric matrices of the same order, then show that A ...

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