Home
Class 12
MATHS
Evaluate the following [ x y z] {:[(a,...

Evaluate the following
`[ x y z] {:[(a, h, g),(h,b,f),(g,f,c)][(x),(y),(z)]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos
  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos
  • MODEL PAPER (1)

    PRADEEP PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following determinants: |(a,h,g),(h,b,f),(g,f,c)|

Find the values of x,y and z from the following matrix equations: {:[(x+y+z),(x+z),(y+z)] = [(11),(7),(9)]

Without expanding, prove the following |(x,y,z),(x^2,y^2,z^2),(x^3,y^3,z^3)|=xyz(x-y)(y-z)(z-x)

Without actual expansion, prove that the following determinants vanish: {:|(x,a,x+a),(y,b,y+b),(z,c,z+c)|

Prove the following identities : |{:(x,x^(2),x^(3)),(y,y^(2),y^(3)),(z,z^(2),z^(3)):}|=xyz(x-y)(y-z)(z-x) .

Without expanding, prove the following |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

Factorise the following expressions : a x^2 y + b x y^2 + c x y z

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Evaluate the following [ x y z] {:[(a, h, g),(h,b,f),(g,f,c)][(x),(y...

    Text Solution

    |

  2. IF a matrix has 12 elements, what are the possible orders it has 7 ele...

    Text Solution

    |

  3. Give an examples of a matrix which is a row as well as a column matrix...

    Text Solution

    |

  4. Give an example of a matrix which is a scalar matrix which is not a un...

    Text Solution

    |

  5. Give an example of a matrix which is a diagonal matrix which is not a ...

    Text Solution

    |

  6. Classify the following matries: [ 1 + I - 3 sqrt2 i]

    Text Solution

    |

  7. Classify the following matries: [(sqrt2, 0),(sqrt3,2)]

    Text Solution

    |

  8. Classify the following matries: [(2,0,3,5),(0,1,-1,2)]

    Text Solution

    |

  9. Classify the following matries: [(-2,0),(0,1)]

    Text Solution

    |

  10. Classify the following matries: [(0,2,2),(2,0,2),(2,2,0)]

    Text Solution

    |

  11. Classify the following matries: [(4,0,0,0),(0,4,0,0),(0,0,4,0),(0,0,...

    Text Solution

    |

  12. Classify the following matries: [(1,0,0,0),(0,1,0,0),(0,0,1,0),(0,0,...

    Text Solution

    |

  13. Classify the following matries: [(2-i),(-3),(0),(6)]

    Text Solution

    |

  14. Construct a 2 x 3 matrix A = [a(ij)] for which a(ij) = i + j

    Text Solution

    |

  15. Construct a 2 xx 3 matrix A = [a(ij)](2 xx 3) for which a(ij) = i - j

    Text Solution

    |

  16. Construct a 2 xx 3 matrix A = [a(if)] for which a(ij) = i/j

    Text Solution

    |

  17. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = i + j

    Text Solution

    |

  18. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = i - j

    Text Solution

    |

  19. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = = ij

    Text Solution

    |

  20. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = = i/j

    Text Solution

    |

  21. If [(x-y, z),(2x-y, w)] = [(-1,4),(0,5)], find x , y , z and w.

    Text Solution

    |