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State'True'or'false':If A and B are symmetric matrices of the same order and `AB-BA !=0`, then AB is not symmetric

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MBD PUBLICATION-MATRICES-QUESTION BANK
  1. State which of the following matrices is symmetric,slew symmetric, bot...

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  2. State which of the following matrices is symmetric,slew symmetric, bot...

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  3. State'True'or'false':If A and B are symmetric matrices of the same ord...

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  4. State'True'or'false':For any square matrix A, AA' is symmetric.

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  5. State'True'or'false':If A is any skew symmetric matrix, then A^2 is al...

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

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

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

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

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

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

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

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  13. 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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  14. 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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  15. Prove that A unit matrix is its own inverse. Is the converse true?If A...

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

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

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

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

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

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