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If A and B are symmetric matrices of the...

If A and B are symmetric matrices of the same order with `AB!= BA,` final whether AB-BA is symmetric or skew symmetric.

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ARIHANT PUBLICATION-MATRICES -ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (b) )
  1. State'True'or'false':For any square matrix (A-A^1)^2 is skew symmetric...

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

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

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  4. If a symmetric /skew symmetric matrix is expressed as a sum of a symme...

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

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

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  7. If [{:(1,2,0),(0,1,3),(-2,5,3):}] , then verify that A+A ' is symm...

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  8. If A=[{:(1,2,0),(0,1,3),(-2,5,3):}] then verify that A+A is symmetric ...

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  9. Prove that a unit matrix is its own inverse Is the converse true ?

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  10. If A=[{:(0,1,-1),(4,-3,3),(3,-3,4):}] show that A^(2)=I and hence A=A...

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

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

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  13. Express as a sum of a symmetric and skew symmetric matrix. [(2,-1,3),(...

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  14. Express as a sum of a symmetric and skew symmetric matrix. [(x,a,b),(a...

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  15. Express as a sum of a symmetric and a skew -symmetric matrix . [{:(...

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

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

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

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

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  20. What is the inverse of [{:(1,0,0),(0,1,0),(0,0,1):}]

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