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If A= ((11,-25),(4,-9)), then prove by M...

If `A= ((11,-25),(4,-9))`, then prove by Mathematical Induction that : `A^n = ((1+10n,-25n),(n,1-10n))`, where `n in N`

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BETTER CHOICE PUBLICATION-MATRICES-Previous years Board Questions for practice
  1. By using elementary transformation find the inverse of following ...

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  2. Find the values of x, y and z from the following equation: [[x+y+z],[x...

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  3. If A= ((11,-25),(4,-9)), then prove by Mathematical Induction that : A...

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  4. If A= ((-1,-4),(1,3)), then prove by Mathematical Induction that : A^n...

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  5. For a matrix A = [(6,2),(4,5)] , verify that A + A' is a symmetric...

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  6. For a matrix A = [(6,2),(4,5)] , verify that A - A' is a skew sy...

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  7. For the matrix A= ((1,5),(6,7)) , verify that : A + A' is a Symmetric ...

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  8. For the matrix A= ((1,5),(6,7)) , verify that : A - A' is a Skew-Symme...

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  9. By using elementary transformation, find the inverse of the matrix ...

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

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  11. Using elementary transformation, find the inverse (if exists) of the f...

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  12. Find the value of x and y when : [(x + 2y , 3 y),( 4 x , 2)] = [(0,...

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

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  14. For the matrices A and B, verify that (AB)' = B'A', where : A = [[0],[...

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

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

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  17. Using elementary transformations find the inverse of matrix A=[[2,-3],...

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  18. Construct a 2 xx 3 matrix A = [a(ij)] whose elements are given by ...

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  19. Construct a 2xx2 matrix, A=[aij] whose elements are given by:: aij = (...

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  20. Find X and Y, if X+Y = [[7,0],[2,5]] and X-Y = [[3,0],[0,3]]

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