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If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] v...

If `A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}]` verify that `A^(3)-6A^(2)+9A-4I=0` and hence find `A^(-1)`.

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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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If A=[{:(0,1,1),(1,0,1),(1,1,0):}] show that A^(-1)=(1)/(2)(A^(2)=3I)

If A= [{:(0,1,1),(1,0,1),(1,1,0):}], "show that" A^(-1)=(1)/(2)(A^(2)-3I)

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If A=[(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3)-6A^(2)+7A+2I=0

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FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-ADDITIONAL QUESTIONS SOLVED
  1. If A = [{:(3,2),(7,5):}] "and B" = [{:(-1,-3),(5,2):}] "verify that" (...

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  2. If A={:((3,1),(-1,2)):} show that A^(2)-5A+7I(2)=0

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  3. If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] verify that A^(3)-6A^(2)+9A-4I=...

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  4. Find the inverse of the matrices [{:(1,-1,2),(0,2,-3),(3,-2,4):}]

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  5. Find the rank of the following matrices. [{:(1,-1,1),(3,-2,3),(2,-3,4)...

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  6. Find the rank of the following matrices. [{:(0,1,2,1),(2,-3,0,-1),(1,1...

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  7. Find the rank of the matrix [[1,-2,3,4],[-2,4,-1,-3],[-1,2,7,6]]

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  8. Using elementary transformations find the inverse of the following mat...

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  9. Using elementary transformations find the inverse of the following mat...

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  10. Using elementary transformations find the inverse of the following mat...

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  11. Using elementary transformations find the inverse of the following mat...

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  12. Using elementary transformations, find the inverse of the following ma...

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  13. Using elementary transformations, find the inverse of the following ma...

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  14. Using elementary transformations, find the inverse of the following ma...

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  15. Using matrix method, solve the following system of equations: x+2y+z...

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  16. Using matrix matrices, solve the following system of linear equations:...

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  17. If {:[( 2,-3,5),( 3,2,-4),( 1,1,-2) ]:} , find A^(-1) Using A^(-1) ...

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  18. Use product {:[( 1,-1,2),( 0,2,-3),( 3,-2,4) ]:} {:[( -2,0,1),(9,2,-3...

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  19. Use product {:[( 1,-1,2),( 0,2,-3),( 3,-2,4) ]:} {:[( -2,0,1),(9,2,-3...

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  20. An amount of Rs 7000 is invested in three types of investments x,y and...

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