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If A and B are symmetric matrices, prove...

If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. If A = {:[(5,-1),(6,7)], B = [(2,1),(3,4)], C = [(1,3),(-1,4)] verify ...

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  2. If A = {:[(5,-1),(6,7)], B = [(2,1),(3,4)], C = [(1,3),(-1,4)] verify ...

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  3. If A and B are symmetric matrices, prove that AB – BA is a skew symmet...

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  4. For a matrix A=[(3,2),(5,3)],Verify that : A + A' is a Symmetric Mat...

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  5. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  6. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  7. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  8. Verify that : A - A' is a Skew - symmetric Matrix. When : A = {:[(...

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  9. For the matrix A=[(1,5),(6,7)], verify that (A+A') is a symmetric matr...

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

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

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

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

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

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

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

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

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

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

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