Home
Class 12
MATHS
Find the minors of cofactors of elements...

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

Text Solution

Verified by Experts

`A=[a_(i j)]=[[1,3,-2],[4,-5,6],[3,5,2]]`
Then
`M_(11)=[(-5 , 6),(5 , 2)]`
`=-10-30`
And `c_(11)=-40`
`M_(12)=[(4 ,6),(3 , 2)]`
`=8-18`
And `c_(12)=10`
...
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos
  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos

Similar Questions

Explore conceptually related problems

Find the minors of cofactors of elements of the matrix A=[a_(ij)]=[[1,3,-24,-5,63,5,2]]

Find the minors and cofactors of the elements of the following determinants: abs([1,-2],[4,3])

Find minors and cofactors of all the elements of the determinant det[[1,-24,3]]

Find the minors and cofactors of the elements of the following determinants: abs([1,0,4],[3,5,-1],[0,0,2])

Find minors and cofactors of all the elements of the determinant abs([2,1],[-5,-3])

Find the minors and cofactors of the elements of the following determinants: abs([2,-3,5],[6,0,4],[1,5,-7])

The cofactor of element -7 in the matrix [[5,6,-3],[-4, 3, 2],[-4,-7,3]] is

Find the minors and cofactors of the elements of the following determinants: abs([2,-4],[0,3])

Write the minors and co-factors of each elements of the first column of the matrix A A=[(1,-3,2),(4,-1,2),(3,5,2)]

Find minors and cofactors of the elements of the determinant det[[2,-3,56,0,41,5,-7]]a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)=0

RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. Let |[3,y],[x,1]|=|[3,2],[4,1]| Find possible values of x and y if x,y...

    Text Solution

    |

  2. Evaluate the determinant =|(log)3 512(log)4 3(log)3 8(log)4 9| .

    Text Solution

    |

  3. Find the minors of cofactors of elements of the matrix A=[a(i j)]=[[1,...

    Text Solution

    |

  4. Let A=|1sintheta1-sintheta1sintheta-1-sintheta1|, where 0lt=thetalt=2p...

    Text Solution

    |

  5. If [ ] denotes the greatest integer less than or equal to the real nu...

    Text Solution

    |

  6. Prove that the determinant |(x,sin theta,cos theta),(-sin theta,-x,1),...

    Text Solution

    |

  7. Write the minors and cofactors of each element of the first column ...

    Text Solution

    |

  8. Write the minors and cofactors of each element of the first column ...

    Text Solution

    |

  9. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

    Text Solution

    |

  10. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

    Text Solution

    |

  11. Evaluate: |2 3 7 13 17 5 15 20 12|^2 .

    Text Solution

    |

  12. Show that |sin10o-cos10osin80ocos80o|=1

    Text Solution

    |

  13. Evaluate |2 3-5 7 1-2-3 4 1| by two methods.

    Text Solution

    |

  14. Evaluate: =|0sinalpha-cosalpha-sinalpha0sinbetacosalpha-sinbeta0|

    Text Solution

    |

  15. Evaluate: =|cosalphacosbetacosalphasinbeta-sinalpha-sinbetacosbeta0sin...

    Text Solution

    |

  16. If A=[2 5 2 1] and B=[4-3 2 5] , verify that |A B|=|A||B| .

    Text Solution

    |

  17. If A=[[1 ,0 ,1],[0 ,1, 2],[ 0, 0, 4]] , then show that |3A|" "=" "27|...

    Text Solution

    |

  18. Find the values of x , if |2 4 5 1|=|2x4 6x| (ii)|2 3 4 5|=|x3 2x5| (...

    Text Solution

    |

  19. Find the values of x , if |3x7 2 4|=10 (ii) |x+1x-1x-3x+2|=|4-1 1 3| ...

    Text Solution

    |

  20. Find the integral value of x , if |[x^2,x,1],[ 0, 2, 1],[ 3, 1, 4]...

    Text Solution

    |