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If A = [[2,-1,1],[-1,2,-1],[1,-1,2]], Ve...

If `A = [[2,-1,1],[-1,2,-1],[1,-1,2]]`, Verify that `A^3-6A^2+9A-4I=O` and hence find `A^-1`.

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PSEB-DETERMINANTS-Exercise
  1. For the matrix A = [[3,2],[1,1]], find the numbers a and b such that A...

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  2. For the matrix A = [[1,1,1],[1,2,-3],[2,-1,3]] Show that A^3-6A^2+5A+1...

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  3. If A = [[2,-1,1],[-1,2,-1],[1,-1,2]], Verify that A^3-6A^2+9A-4I=O and...

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  4. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

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  5. Select the Correct Option If A is an invertible matrix of order 2, the...

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  6. Examine the consistency of the system of equations : x+2y=2, 2x+3y=3

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  7. Examine the consistency of the system of equations : 2x-y=5, x+y=4

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  8. Examine the consistency of the system of equations : x+3y=5, 2x+6y=8

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  9. Examine the consistency of the system of equations : x+y+z=1, 2x+3y+2z...

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  10. Examine the consistency of the system of equations : 3x-y-2z=2, 2y-2z=...

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  11. Examine the consistency of the system of equations : 5x-y+4z=5, 2x+3y+...

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  12. Solve system of linear equations, using matrix method: 5x+2y=4, 7x+3y=...

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  13. Solve system of linear equations, using matrix method: 2x-y=-2, 3x+4y=...

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  14. Solve system of linear equations, using matrix method: 4x-3y=3, 3x-5y=...

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  15. Solve system of linear equations, using matrix method: 5x+2y=3, 3x+2y=...

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  16. Solve system of linear equations, using matrix method: 2x+y+z=1, x-2y-...

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  17. Solve the following system of linear equations by matrix method: x - y...

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  18. Solve the following system of linear equations by matrix method : 2x +...

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  19. Solve by matrix method x-y+2z=7 3x+4y-5z=-5 2x-y+3z=12

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  20. If A = [[2,-3,5],[3,2,-4],[1,1,-2]] find A^-1. Using A^-1 solve the s...

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