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Verify A(adj A) = (adj A).A = |A|.I : [...

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

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the adjoint of the following matrices: {:[(1,-1,2),(2,3,5),(-2,...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. 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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  16. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

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

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  18. Classify the following systems of equations as consistent or inconsist...

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  19. Solve by matrix method 2x +y +z=1 x-2y-z =3//2 3y-5z =9

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  20. Classify the following systems of equations as consistent or inconsist...

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