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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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For the matrix A = [[1,1,1],[1,2,-3],[2,-1,3]] , show that A^3 - 6A^2 + 5A + 11I = 0 . Hence find A^-1 .

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PRADEEP PUBLICATION-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 square matrix of order 3×3. Then abs(adjA) is

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

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  6. Classify the following systems of equations as consistent or inconsist...

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  7. Solve by matrix method 2x +y +z=1 x-2y-z =3//2 3y-5z =9

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  8. Classify the following systems of equations as consistent or inconsist...

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  9. Classify the following systems of equations as consistent or inconsist...

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  10. Classify the following system of equations as consistent or inconsiste...

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  11. Classify the following system of equations as consistent or inconsiste...

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  12. Classify the following system of equations as consistent or inconsiste...

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  13. Use matrix methocd to solve the following system of equations: {:(x-y ...

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  14. Solve by matrix method 2x + 3y +3z = 5 x -2y + z = -4 3x - y -...

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

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

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

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

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

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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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