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Find adjoint of the matrix: [[1,2],[3,4]...

Find adjoint of the matrix: `[[1,2],[3,4]`

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PSEB-DETERMINANTS-Exercise
  1. Using Cofactors of elements of third column, evaluate triangle - |[1,x...

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  2. If triangle = |[a11,a12,a13],[a21,a22,a23],[a31,a32,a33]| and Aij is...

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  3. Find adjoint of the matrix: [[1,2],[3,4]

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  4. Find adjoint of the matrix: [[1,-1,2],[2,3,5],[-2,0,1]]

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  5. Verify A(adj A) = (adj A).A = |A|.I :[[2,3],[-4,-6]]

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  6. Verify A(adj A) = (adj A).A = |A|.I : [[1,-1,2],[3,0,-2],[1,0,3]]

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  7. Find the inverse of the matrix (if it exists): [[2,-2],[4,3]]

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  8. Find the inverse of the matrix (if it exists): [[-1,5],[-3,2]]

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  9. Find the inverse of the matrix (if it exists): [[1,2,3],[0,2,4],[0,0,5...

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  10. Find the inverse of the matrix (if it exists): [[1,0,0],[3,3,0],[5,2,...

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  11. Find the inverse of the matrix (if it exists): [[2,1,3],[4,-1,0],[-7,2...

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  12. Find the inverse of the matrix (if it exists): [[1,-1,2],[0,2,-3],[3,-...

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  13. Find the inverse of the matrix (if it exists): [[1,0,0],[0,cosalpha,si...

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

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

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

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  17. 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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  18. 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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  19. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

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  20. Select the Correct Option If A is an invertible matrix of order 2, the...

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