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Construct a 3 xx 3 matrix whose eleme...

Construct a ` 3 xx 3 ` matrix whose elements are given by
`a_(ij) = 2 i + j`

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The correct Answer is:
`[(1,0,-1,-2),(3,2,1,0),(5,4,3,2)]`
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BETTER CHOICE PUBLICATION-MATRICES-Previous years Board Questions for practice
  1. Find the values of a, b, c and d from the following equation : [[2a+b,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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