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If A=[3 1-1 2] , show that A^2-5A+7I=O ....

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

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MODERN PUBLICATION-DETERMINANTS-NCERT FILE (Exercise 4.5)
  1. Find the adjoint of each of the matrices in questions 1 and 2. [{:(1...

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  2. Find the adjoint of the matrices [{:(1,-1,2),(2,3,5),(-2,0,1):}]

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  3. Varify A (adjA)=(adjA)A=|A| I in questions 3 and 4. [{:(2,3),(-4,-...

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  4. Find the adjoint of the given matrix and verify in ach case that A.(ad...

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  5. Find the inverse the matrix (if it exists)given in[2-2 4 3]

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  6. Find the inverse of each of the matrices (if it exists) given in [{:(-...

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  7. Find the inverse the matrix (if it exists)given in[1 2 3 0 2 4 0 0 5]

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  8. Find the inverse the matrix (if it exists)given in [1 0 0 3 3 0 5 2-1]

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  9. Find the inverse the matrix (if it exists) given in[2 1 3 4-1 0-7 2 1]

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  10. Find the inverse the matrix (if it exists)given in[1-1 2 0 2-3 3-2 4]

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  11. Find the inverse of each of the matrices (if it exists) given in [{:(1...

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

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

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  14. Solve system of linear equations, using matrix method, x y" "+" "2...

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  15. For the matrix A=|(1,1,1),(1,2,-3),(2,-1,3)|, then that A^3-6A^2+5A+11...

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  16. If A=[2-1 1-1 2-1 1-1 2] . Verify that A^3-6A^2+9A-4I=O and hence find...

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

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  18. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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