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If A =[[3,1],[-1,2]],show that A^2-5A + ...

If A =`[[3,1],[-1,2]]`,show that `A^2-5A + 7I=0` Hence, find `A^(-1)`

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A N EXCEL PUBLICATION-DETERMINANTS-QUESTION TYPE
  1. Find the inverse of the following A=[[1,-1,2],[0,2,-3],[3,-2,4]]

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  2. Let A =[[3,7],[2,5]] and B=[[6,8],[7,9]]Verify that (AB)^(-1)=B^(-1)A^...

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  3. If A =[[3,1],[-1,2]],show that A^2-5A + 7I=0 Hence, find A^(-1)

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

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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+11I...

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  6. Let A be a non-singular square matrix of order 3xx3.Then |adj A| is .....

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  7. If A is an invertible matrix of order 2, then det(A^(-1))=

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  8. Examine the consistency of the following system of equation x+2y=12 ...

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  9. Examine the consistency of the following system of equation 2x-y =5 ...

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  10. Examine the consistency of the following system of equation x+3y =5 ...

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  11. Examine the consistency of the following system of equation x+y+z=1 ...

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  12. Test the consistency 3x-y-2z=2,2y-z=-1,3x-5y=3

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  13. Examine the consistency of the following system of equation 5x-y+4z=5...

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  14. Solve the following system of linear equations using matrix method. 5x...

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  15. Solve the following system of linear equations using matrix method. 2x...

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  16. Solve the following system of linear equations using matrix method. 4x...

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  17. Solve the following system of linear Equations,using matrix method, ...

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  18. Solve the following system of linear equations using matrix method. 2x...

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  19. LetA=[[1,-1,1],[2,1,-3],[1,1,1]] Using A^-1 solve the system of eq...

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  20. Solve the following system of linear equations using matrix method. 2x...

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