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Write Minors and Cofactors of the elemen...

Write Minors and Cofactors of the elements of following determinant : `|[1,0,0],[0,1,0],[0,0,1]|`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Write Minors and Cofactors of the elements of following determinant : ...

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  2. Write Minors and Cofactors of the elements of following determinant : ...

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  3. Write Minors and Cofactors of the elements of following determinant : ...

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  4. Write Minors and Cofactors of the elements of following determinant : ...

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  5. Using Cofactors of elements of second row, evaluate triangle = |[5,3,8...

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  6. Using Cofactors of elements of third column, evaluate triangle - |[1,x...

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  7. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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