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Express the matrix A = [(-2,3,1),(1,3,2...

Express the matrix ` A = [(-2,3,1),(1,3,2),(5,-4,5)]` as the sum of a symmetric and skew - symmetric matrix

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The correct Answer is:
`[(-2,2,3),(2,3,-1),(3,-1,5)]+[(0,1,-2),(-1,0,3),(2,-3,0)]`
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BETTER CHOICE PUBLICATION-MATRICES-Previous years Board Questions for practice
  1. If A = [(3,4),(4,5)] , B = [(5,3),(2,1)] then verify that (AB)' = B' ...

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  2. If A = [(2,4),(3,5)] and B = [(5,4),(3,2)] then verify that (AB)' = B...

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  3. Express the matrix A = [(-2,3,1),(1,3,2),(5,-4,5)] as the sum of a sy...

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  4. Express the following as sum of symmetric and skew symmetric matri...

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  5. Express the following as sum of symmetric and skew symmetric matri...

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  6. Express the following as sum of symmetric and skew symmetric matri...

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  7. Express the following as sum of symmetric and skew symmetric matri...

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  8. By using elementary transformations, find the inverse of the matrix : ...

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  9. Using elementary find the inverse of the following matrices [(-6,5...

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  10. Using elementary transformations find the inverse of the matrix. [[1,3...

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  11. Using elementary find the inverse of the following matrices [(-4,3...

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  12. Using elementary find the inverse of the following matrices [(1,-2...

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  13. Using elementary find the inverse of the following matrices [(1,3)...

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  14. Find the values of a, b, c and d from the following equation : [[2a+b,...

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  15. Construct a 2 xx 3 matrix whose elements in the ith row and jth co...

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  16. Construct a 3 xx 3 matrix whose elements are given by a(ij) = 2 i...

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  17. Construct a 3 xx 4 matrix whose elements are given by a(ij) = (1...

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  18. By using elementary transformation find the inverse of the matrix : A ...

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  19. Using elementary transformations, find the inverse of each of the matr...

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  20. If A= [[6,2],[-1,3]] and I= [[1,0],[0,1]] show that (A-4I) (A-5I)=0

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