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State'True'or'false':If A is symmetric then `A-A^1` is both symmetric and skew symmetric.

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MBD PUBLICATION-MATRICES-QUESTION BANK
  1. State'True'or'false':If A is any skew symmetric matrix, then A^2 is al...

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  2. State'True'or'false': If A is symmetric, then A^2,A^3,…..,A^n are all ...

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  3. State'True'or'false':If A is symmetric then A-A^1 is both symmetric an...

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  4. State'True'or'false':For any square matrix (A-A^1)^2 is skew symmetric...

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  5. State'True'or'false': A matrix which is not symmetric is skew symmetri...

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

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

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

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  9. 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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  10. 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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  11. Prove that A unit matrix is its own inverse. Is the converse true?If A...

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

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

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

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

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

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

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

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

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

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