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If Matrix A= [[3,1],[-1,2]], then show t...

If Matrix `A= [[3,1],[-1,2]]`, then show that `A^2-5A+7I=0` and hence find `A^-1` from this equation.

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PSEB-DETERMINANTS-Exercise
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  3. If Matrix A= [[3,1],[-1,2]], then show that A^2-5A+7I=0 and hence find...

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  4. For the matrix A = [[3,2],[1,1]], find the numbers a and b such that A...

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  5. 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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  6. 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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  11. Examine the consistency of the system of equations : x+3y=5, 2x+6y=8

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

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

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

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

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  16. 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: 5x+2y=3, 3x+2y=...

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

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

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