Home
Class 12
MATHS
Find the determinant of the matrix [{...

Find the determinant of the matrix
`[{:(a,b,c),(b,c,a),(c,a,b):}]`

Text Solution

Verified by Experts

The correct Answer is:
`3abc -a^(3)-b^(3)-c^(3)`
Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Addition of vectors)|26 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Product of vectors )|73 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos

  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

|(a,b,c),(b,c,a),(c,a,b)|=

Find the determinant of the matrix [{:(a,h,g),(h,b,f),(g,f,c):}]

Find the determinant of the matrix [(a,h,g),(h,b,f),(g,f,c)]

Without expanding the determinant, prove that |{:(1,bc,b+c),(1,ca,c+a),(1,ab,a+b):}|=|{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|

Without expanding the determinant , prove that |{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}|=|{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}|

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

If a, b,c are distinct positive real numbers, then the vlaue of the determinant , |(a,b,c),(b,c,a),(c,a,b)| .

|(a+b,c,c),(b,a+c,b),(a,a,b+c)|=

Without expanding the determinant show that |(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|=2|(a,b,c),(b,c,a),(c,a,b)|

|(a,b,c),(a-b,b-c,c-a),(b+c,c+a,a+b)|=

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Matrices)
  1. Find the minors of -1 and 3 in the matrix [(2,-1,4),(0,-2,5),(-3,1,3)]

    Text Solution

    |

  2. Find the cofactors of 2 and -5 in the matrix [{:(-1,0,5),(1,2,-2),(-4,...

    Text Solution

    |

  3. Find the determinant of the matrix [(a,h,g),(h,b,f),(g,f,c)]

    Text Solution

    |

  4. Find the determinant of the matrix [{:(a,b,c),(b,c,a),(c,a,b):}]

    Text Solution

    |

  5. P.T the determinant of skew symmetric matrix of order 3 is zero.

    Text Solution

    |

  6. Find the Adjoint and Inverse of the matrix A = [(1,2),(3,-5)]

    Text Solution

    |

  7. Find the Adjoint and Inverse of the matrix [(cos alpha,-sin alpha),(si...

    Text Solution

    |

  8. If A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)+b^(2)+c^(2)+d^(2) =1, then fi...

    Text Solution

    |

  9. Find the rank of the matrix A = [(1,0),(0,1)]

    Text Solution

    |

  10. Find the rank of the matrix A = [(1,1),(0,0)]

    Text Solution

    |

  11. Find the rank of the matrix A = [(1,0,-4),(2,-1,3)]

    Text Solution

    |

  12. Find the rank of the matrix [(1,2,6),(2,4,3)]

    Text Solution

    |

  13. Find the rank of [(1,2,3),(2,3,4),(0,1,2)]

    Text Solution

    |

  14. Define Trace of a matrix.

    Text Solution

    |

  15. What is transpose of a matrix?

    Text Solution

    |

  16. Define a diagonal matrix. Give one example.

    Text Solution

    |

  17. Define a scalar matrix, Give one example.

    Text Solution

    |

  18. Define symmetric & skew symmetric matrix and give and example to each.

    Text Solution

    |

  19. Define Rank of a matrix.

    Text Solution

    |

  20. For any square matrix A, show that AA' is symmetric.

    Text Solution

    |