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For the matrix A=[[1,1,1],[1,2,-3],[2,-1...

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

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

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

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

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  6. Solve the system of equations '2 x+5 y=1' '3 x+2 y=7'

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

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

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  18. Solve the system of equations using matrix method. 2 x+y+z=1 , x-2 y-z...

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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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