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show that the matrix A= [[1,-1,5],[-1,2,...

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

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V PUBLICATION-MATRICES-QUESTION BANK
  1. For the matrices A and B verify that, (AB)^'=B^' A^', where i) A=[[1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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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 A=[[2,-6],[1,-2]]

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

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

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

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