Home
Class 12
MATHS
Find minors and cofactors of the element...

Find minors and cofactors of the elements of the determinant`|2-3 5 6 0 4 1 5-7|`and verify that `a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)=0`

Text Solution

AI Generated Solution

To solve the problem, we need to find the minors and cofactors of the elements of the determinant given by the matrix: \[ \begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix} ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

Similar Questions

Explore conceptually related problems

Find minors and cofactors of the elements a_(11), a_(21) in the determinant Delta=|a_(11)a_(12)a_(13)a_(21)a_(22)a_(23)a_(31)a_(32)a_(23)|

If A_(ij) is the cofactor 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) .

If A_(i j) is the cofactor of the element a_(i j) of the determinant [(2 , -3) ,(-7, 6) ], then write the value of a_(22)dot A_(22)dot

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

On expanding by first row, the value of the determinant of 3xx3 square matrix A=[a_(i j)] is a_(11)C_(11)+a_(12)C_(12)+a_(13)C_(13)+a_(32)C_(32)+a_(33)C_(33) .

Find the minors of cofactors of elements of the matrix A=[a_(i j)]=[[1,3,-2],[4,-5,6],[3,5,2]]

Write the cofactor of a_(12) in the matrix [[2,-3, 5],[ 6, 0, 4],[ 4, 5,-7]]

If Delta=|[a_(11),a_(12),a_(13)],[a_(21),a_(22),a_(23)],[a_(31),a_(32),a_(33)]| and A_(i j) is cofactors of a_(i j) , then value of Delta is given by A. a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33) B. a_(11)A_(11)+a_(12)A_(21)+a_(13)A_(31) C. a_(21)A_(11) + a_(22)A_(12) + a_(23)A_(13) D. a_(11)A_(11) + a_(21)A_(21) + a_(31)A_(31)

If Delta=|(a_(11), a_(12), a_(13) ),(a_(21), a_(22), a_(23)),(a_(31), a_(32), a_(33))| and A_(i j) is cofactors of a_(i j) , then value of Delta is given by (A) a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33) (B) a_(11)A_(11)+a_(12)A_(21)+a_(13)A_(31) (C) a_(21)A_(11)+a_(22)A_(12)+a_(23)A_(13) (D) a_(11)A_(11)+a_(21)A_(21)+a_(31)A_(31)

For a 2^(nd) order determinant abs(A)=abs(a_(ij)) , find a_(12)A_(11)+a_(22)A_(21)

NCERT ENGLISH-DETERMINANTS-All Questions
  1. If A=[[1 ,3 ,3],[ 1, 4 ,3],[ 1, 3, 4]],then verify thatA a d j A = |A|...

    Text Solution

    |

  2. Find adj for A=[[2 , 3 ] , [1 , 4]]

    Text Solution

    |

  3. Find minors and cofactors of the elements of the determinant|2-3 5 6 ...

    Text Solution

    |

  4. Find minors and cofactors of the elements a(11), a(21)in the determin...

    Text Solution

    |

  5. Find minors and cofactors of all the elements of the determinant |[1,...

    Text Solution

    |

  6. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  7. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  8. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  9. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  10. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  11. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  12. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  13. By using properties of determinants. Show that:|[x,x^2,y z],[ y, y^2,z...

    Text Solution

    |

  14. By using properties of determinants. Show that: (i) |[1,a, a^2],[ 1,...

    Text Solution

    |

  15. If a, b, c are positive and unequal, show that value of the determina...

    Text Solution

    |

  16. If a,b,c are in A.P, find value of |[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],...

    Text Solution

    |

  17. Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2x y...

    Text Solution

    |

  18. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

    Text Solution

    |

  19. Without expanding, prove that |(a+b x, c+dx, p+q x), (a x+b, c x+d, ...

    Text Solution

    |

  20. By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x...

    Text Solution

    |