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The cofactor of a13 in {:|(2,-3,5),(6,0,...

The cofactor of `a_13` in `{:|(2,-3,5),(6,0,4),(1,5,-7)|` is

A

30

B

46

C

-42

D

40

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Find the cofactor of a_12 in |(2,-3,5),(6,0,4),(1,5,-7)|

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If A_(ij) is the co-factor of the element a_(ij) of the determinant {:|(2,-3,5),(6,0,4),(1,5,-7)| , then write the value of a_(32),A_(32)

find the cofactor of a_(23) in [(3,1,4),(0,2,-1),(1,-3,5)]

Find minors and cofactors of the elements of the determinant abs{:(2,-3,5),(6,0,4),(1,5,-7):} and verify a_(11) C_(31) + a_(12) C_(32) + a_(13) C_(33 ) = 0 .

Find the minors and cofactors of the elements of the matrix A = [(2,-3,5),(6,0,4),(1,5,-7)]

Find the determinants of minors and cofactors of the determinant |{:(2,3,4), (7,2,-5), (8,-1,3):}|

Write the co-factor of '7' in the determinant {:|(4,5,6),(5,6,7),(13,15,17)|

Find minors and cofactors of the elements of the determinant |[2,-3,5],[6,0,4],[1,5,-7]| and verify that a_11A_31+a_12A32+a_13A_33 = 0

Verify Property 2 for triangle = |[2,-3,5],[6,0,4],[1,5,-7]|

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. If A is a square matrix of order 3 such that |adjA|=16, then |A| is

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  2. If {:|(2,3),(4,5)| = |(x,3),(2x,5)|, then the value of 'x' is ………..

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  3. The cofactor of a13 in {:|(2,-3,5),(6,0,4),(1,5,-7)| is

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  4. If A= diag (4, 2, 1) then det. A is equal to :

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  5. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

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  6. If a1,a2,a3,……………….. are in A.P., then the value of: {:|(a1,a2,1),(a...

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  7. The system of linear equations: 3x+y-z=2,x-z=1 and 2x+2y+az=5 has un...

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  8. Let I denote the 3xx3 and P be a matrix obtained by rearranging the co...

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  9. If A is matrix of order 3,such that A(adjA)=10I. Then |adjA|=

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  10. Without expanding the determinant at any stage, prove that {:|(x+1,x+2...

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  11. Consider the following statements: (i) If any two rows or coluns of a ...

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  12. Let A be a square matrix all of whose entries are integers. Which on...

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  13. Let omega ne 1 be a cube root of unity and S be the set of all non-...

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  14. Let M and N be two 3xx3 non-singular skew-=symmetric matrices such t...

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  15. The number of values of k which the linear equations 4x+ky+2z=0 kx...

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  16. The number of values of k, for which the system of equations (k""+""...

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  17. If P=[[1,alpha,3],[1,3,3],[2,4,4]] is the adjoint of a 3xx3 matrix A a...

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  18. If {:|(x,x),(1,x)| = |(3,4),(1,2)|. Write the positive value of 'x'.

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  19. If A is a square matrix of order 3 and |3A| = k|A|, then write the val...

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  20. If A is a square matrix order 3 such that |adjA|=225, find |A'|.

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