Home
Class 12
MATHS
Using Cofactors of elements of third col...

Using Cofactors of elements of third column, evaluate `triangle - |[1,x,yz],[1,y,zx],[1,z,xy]|`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PSEB|Exercise Exercise|101 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PSEB|Exercise Exercise|151 Videos

  • DIFFERENTIAL EQUATIONS

    PSEB|Exercise Exercise|116 Videos

Similar Questions

Explore conceptually related problems

Using Cofactors of elements of second row, evaluate triangle = |[5,3,8],[2,0,1],[1,2,3]|

The value of |[[1,x,y+z],[1,y,z+x],[1,z,x+y]]| is

Prove that |[1,x,x^2-yz],[1,y,y^2-zx],[1,z,z^2-xy]|= 0

Find minors and cofactors of all the elements of the determinant |[1,-2],[4,3]|

The value of the det. |[x+y,y+z,z+x],[z,x,y],[1,1,1]| is

Using the properties of determinant, show that : |[1,x+y,x^2+y^2],[1,y+z,y^2+z^2],[1,z+x,z^2+x^2]| = (x-y)(y-z)(z-x)

Using the properties of determinants, show that : |[[x^2, y^2, z^2],[yz, zx, xy],[x,y,z]]|= (x-y)(y-z)(z-x)(xy+yz+zx) .

Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y),(1,1,1)|

PSEB-DETERMINANTS-Exercise
  1. Write Minors and Cofactors of the elements of following determinant : ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If triangle = |[a11,a12,a13],[a21,a22,a23],[a31,a32,a33]| and Aij is...

    Text Solution

    |

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

    Text Solution

    |

  6. Find adjoint of the matrix: [[1,-1,2],[2,3,5],[-2,0,1]]

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. For the matrix A = [[1,1,1],[1,2,-3],[2,-1,3]] Show that A^3-6A^2+5A+1...

    Text Solution

    |

  20. If A = [[2,-1,1],[-1,2,-1],[1,-1,2]], Verify that A^3-6A^2+9A-4I=O and...

    Text Solution

    |