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Delta=|(a(11),a(12),a(13)),(a(21),a(22),...

`Delta=|(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33))| and A_(ij)` is cofactor of `a_(ij)` then value of `Delta` is given by

A

`a_11A_31 + a_12A_32+a_13A_33`

B

`a_11A_11+a_12A_21+a_13A_31`

C

`a_21A_11 + a_22A_12+a_23A_23`

D

`a_11A_11+a_21A_21+a_31A_31`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Using Cofactors of elements of second row, evaluate triangle = |[5,3,8...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. 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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  19. 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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  20. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

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