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If A = {:[(3,1,-1),(0,1,2)], then show t...

If `A = {:[(3,1,-1),(0,1,2)]`, then show that AA' is a symmetric matrix.

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. For the matrix A=[(1,5),(6,7)], verify that (A+A') is a symmetric matr...

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  2. For the matrix A= ((1,5),(6,7)) , verify that : A - A' is a Skew-Symme...

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  3. If A = {:[(3,1,-1),(0,1,2)], then show that AA' is a symmetric matrix.

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  4. Find (1)/(2)(A+A')and(1)/(2)(A-A'), when A=[(0,a,b),(-a,0,c),(-b,-c,0)...

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  5. Express [(3,5),(1,-1)] as a sum of symmetric and skew symmetric matr...

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  6. Express {:[(3,-4),(1,-1)] as the sum of symmetric and skew-symetric ma...

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  7. Show that the elements on the main diagonal of a skew-symmetric matrix...

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  8. Show that the matrix BAB) is symmetric or skew symmetric according as ...

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  9. Let A and B be symmetric matrices of the same order. Then show that: ...

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  10. Let A and B be symmetric matrices of the same order. Then show that: ...

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  11. Let A and B be symmetric matrices of the same order. Then show that: ...

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  12. Express the following matrices as sum of a symmetric and a skew symme...

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  13. Express the following matrices as the sum of a symmetric and skew-symm...

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  14. Express the following matrices as the sum of a symmetric and skew-symm...

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  15. Express the following as the sum of symmetric and skew-symmetric matri...

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  16. Express the following as the sum of symmetric and skew-symmetric matri...

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  17. Express the following as the sum of symmetric and skew-symmetric matri...

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  18. By using elementary transformations, find the inverse of the matrix A ...

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  19. By using elementary Row Transformations, find P^-1, if it exists, when...

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  20. Using elementary transformations find inverse of [[0,1,2],[1,2,3],[3,1...

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