Home
Class 12
MATHS
Evaluate the following determinants: [...

Evaluate the following determinants:
`[[1,0,-5863],[-7361,2,7361],[1,0,4137]]`

Text Solution

Verified by Experts

`[[1,0,-5863],[-7361,2,7361],[1,0,4137]]`
=`2[[1,-5863],[1,4137]]`
(expanding along 2nd column)
=2(4137+5863)
=`2xx10000=20000`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

  • DIFFERENTIAL EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|87 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following determinants. [[1,1],[2,3]]

Evaluate the following determinants. [[2,-3],[1,-4]]

Evaluate the following determinants. [[4,-1],[3,2]]

Evaluate the following determinants. [[0,x],[2,0]]

Evaluate the following determinants. [[2,3,1],[0,0,0],[-1,2,0]]

Evaluate the following determinants. [[1,0,0],[0,1,0],[0,0,1]]

Evaluate the following determinants. [[1,0,0],[2,3,5],[4,1,3]]

Evaluate the following determinants. [[-6,0,0],[3,-5,7],[2,8,11]]

Evaluate the following determinants. [[1,1,1],[2,2,2],[3,3,3]]

MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Evaluate the following determinants: [[1,2,3],[3,5,7],[8,14,20]]

    Text Solution

    |

  2. Evaluate the following determinants: [[1^2,2^2,3^2],[2^2,3^2,4^2],[3...

    Text Solution

    |

  3. Evaluate the following determinants: [[1,0,-5863],[-7361,2,7361],[1,...

    Text Solution

    |

  4. Evaluate the following determinants: [[265,240,219],[240,225,198],[2...

    Text Solution

    |

  5. Evaluate the following determinants: [[0,a^2,b],[b^2,0,a^2],[a,b^2,0...

    Text Solution

    |

  6. Evaluate the following determinants: [[a-b,b-c,c-a],[x-y,y-z,z-x],[p...

    Text Solution

    |

  7. Evaluate the following determinants: [[a-b,b-c,c-a],[b-c,c-a,a-b],[c...

    Text Solution

    |

  8. If [[1,1,1],[1,1+x,1],[1,1,1+y]]=0 what are x and y?

    Text Solution

    |

  9. For what value fo x [[2x,0,0],[0,1,2],[-1,2,0]]=[[1,0,0],[2,3,4],[0,...

    Text Solution

    |

  10. Solve [[x+a,0,0],[a,x+b,0],[a,0,x+c]]=0

    Text Solution

    |

  11. Solve [[a+x,a-x,a-x],[a-x,a+x,a-x],[a-x,a-x,a+x]]=0

    Text Solution

    |

  12. Solve [[x+a,b,c],[a,x+b,c],[a,b,x+c]]=0

    Text Solution

    |

  13. Show that x=2 is a root of [[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]]=0 S...

    Text Solution

    |

  14. Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]

    Text Solution

    |

  15. Evaluate [[a,a^2-bc,1],[b,b^2-ac,1],[c,c^2-ab,1]]

    Text Solution

    |

  16. For what value of lamda the system of equations x+y+z=6, 4x+lamda y-...

    Text Solution

    |

  17. If A is a 3xx3 matrix and absA=2, then which matrix is represented by ...

    Text Solution

    |

  18. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

    Text Solution

    |

  19. Prove the following: [[a^2+1,ab,ac],[ab,b^2+1,bc],[ac,bc,c^2+1]] =1+...

    Text Solution

    |

  20. Prove the following: [[1,1,1],[a,b,c],[a^3,b^3,c^3]] =(b-c)(c-a)(a...

    Text Solution

    |