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If A = {:[(3,sqrt3,2),(4,2,0)] and B = [...

If `A = {:[(3,sqrt3,2),(4,2,0)] and B = [(2,-1,2),(1,2,4)]`, then verify that :
(A+B)'=A'+B'

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Taking A = [(1,3),(2,4)] and B = [(1,4),(2,5)], verify that (2A)' = 2A...

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  2. If A = [(3),(5),(2)], B = [(1,0,4)], verify that (AB)' = B'A'

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  3. If A = {:[(3,sqrt3,2),(4,2,0)] and B = [(2,-1,2),(1,2,4)], then verify...

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  4. If A = [(2,4, -1), (-1,0,2)], B = [(3,4),(-1,2),(2,1)]. Find (AB)'

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  5. For the matrices A and B, A = [(2,1,3),(4,1,0)], B = [(1,-1),(0,2),(5,...

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  6. If A = [(5,1,1),(2,3,0)], B = [(2,3),(-1,1),(4,0)], verify that (AB)' ...

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  7. If A = [(cos alpha , sin alpha),(-sinalpha, cosalpha)], verify that A ...

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  8. If A = {:((cosalpha, sinalpha),(-sinalpha,cosalpha)), find 'alpha' sat...

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  9. If A = [(-1,2,-3),(4,-5,6)] and B = [(3,-4),(2,1),(-1,0)], verify that...

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  10. if A=[(1,2,3),(2,1,-1),(a,2,b)] is a matrix satisfying A A'=9l(3,) fin...

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  11. Express the matrix [(2,3),(-7,5)] as the sum of a symmetric and a skew...

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  12. If A = [(p,q),(r,s)], then express A as the sum of a symmetric and a s...

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  13. show that the matrix A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] is idempotent.

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  14. Express each of the matrices [(6,3,-2),(5,7,9),(4,7,1)] as the sum of ...

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  15. If A and B are symmetric matrices of the same order. Show that A-B is ...

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  16. If A and B are skew-symmetric matrices of the same order. Show that A-...

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  17. If A is any square matrix, show that 1/2(A + A') is symmetric and 1/2(...

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  18. If A and B are square matrices of the same order and A is symmetric, t...

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  19. If A is a symmetric matrix, prove that A^n is also symmetric for all p...

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  20. Verify that [(2,3),(5,7)] is inverse of the matrix [(-7,3),(5,-2)]

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