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A and B are square matrices of the same order, prove that : if A,B and AB are all symmetric, then AB-BA =0

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MBD PUBLICATION-MATRICES-QUESTION BANK
  1. State'True'or'false': A matrix which is not symmetric is skew symmetri...

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  2. If A and B are symmetric matrices of the same order with AB!= BA, fina...

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  3. A and B are square matrices of the same order, prove that : if A,B and...

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  4. A and B are square matrices of the same order, prove that :If A,B and ...

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  5. If A=[[1,2,0],[0,1,3],[-2,5,3]],"then verify that" A=[[1,2,0],[0,1,3],...

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  6. If A=[[1,2,0],[0,1,3],[-2,5,3]],"then verify that" A=[[1,2,0],[0,1,3],...

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  7. Prove that A unit matrix is its own inverse. Is the converse true?If A...

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  8. Show that [[0,1],[1,0]] is its own inverse.

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  9. Express as a sum of a symmetric and a skew symmetric matrix: [[1,2,3],...

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  10. Express as a sum of a symmetric and a skew symmetric matrix: [[2,-1,3]...

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  11. Express as a sum of a symmetric and a skew symmetric matrix: [[x,a,b],...

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  12. Express as a sum of a symmetric and a skew symmetric matrix: [[0,x],[-...

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  13. Express as a sum of a symmetric and a skew symmetric matrix: [[1,5],[7...

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  14. Express as a sum of a symmetric and a skew symmetric matrix: [[4,-3],[...

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  15. Express as a sum of a symmetric and a skew symmetric matrix: [[0,1],[1...

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  16. What is the inverse of : [[1,0],[0,1]]

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  17. What is the inverse of : [[1,0,0],[0,1,0],[0,0,1]]

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  18. Find inverse of the following matrices by elementary row/column operat...

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  19. Find inverse of the following matrices by elementary row/column operat...

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  20. Find inverse of the following matrices by elementary row/column operat...

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