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Using elementary transformations, find the inverse of each of the matrix, if it exists: `[[6,-3],[-2,1]]`

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BETTER CHOICE PUBLICATION-MATRICES-Previous years Board Questions for practice
  1. Construct a 3 xx 4 matrix whose elements are given by a(ij) = (1...

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

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

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

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  5. If A= [[7,2],[-1,4]] and I= [[1,0],[0,1]] show that (A-5I) (A-6I)=0

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  6. If A = [(4,2),(-1,1)] and I = [(1,0),( 0,1)] prove that (A - 2I) (A -...

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  7. Find a 2xx2 order matrix B such that [[2,5],[-3,7]] B=[[17,-1],[47,-13...

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  8. Solve the matrix equation : ([1,x,1])([1,2,3],[4,5,6],[3,2,5])((1),(2)...

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  9. Solve the matrix equation : ([1,x,1])([1,2,3],[4,5,6],[3,2,5])((1),(-2...

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  10. Solve the matrix equation : ([1,1,x])([1,0,2],[0,2,1],[2,1,0])((1),(1)...

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  11. By using elementary transformation find the inverse of following ...

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  12. By using elementary transformation find the inverse of following ...

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  13. By using elementary transformation find the inverse of following ...

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  14. By using elementary transformation find the inverse of following ...

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  15. By using elementary transformation find the inverse of following ...

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

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

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

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

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

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