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

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

  • MOCK TEST-1

    MODERN PUBLICATION|Exercise EXERCISE|33 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

MODERN 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 8 elements, what are the possibles orders it can have?

    Text Solution

    |

  3. If a matrix has 24 elements, what are the possible orders it can have?...

    Text Solution

    |

  4. Name the square matrix A = [a(ij)] in which a(ij) = 0, I ne J.

    Text Solution

    |

  5. If [5,6,7] A = [13,23], what is the order of the matrix A?

    Text Solution

    |

  6. Write the element a12 of the matrix A = [a(ij)](2xx2) a(ij) = e^(2ix...

    Text Solution

    |

  7. For a 2xx2 matrix, A = [a(ij)], whose elements are given by a(ij) = ...

    Text Solution

    |

  8. Find the value of 'x', if: {:[(3x+y, -y),(2y-x,3)] = [(1,2),(-5,3)]

    Text Solution

    |

  9. Find the value of 'x', if: {:[(x+2y, 5),(-y,3)] = [(7,5),(-2,3)]

    Text Solution

    |

  10. Find the value of 'y', if: {:[(y+2x, 5),(-x,3)]=[(7,5),(-2,3)]

    Text Solution

    |

  11. Find the values of 'x' and 'y' when : {:[(x+2y, 3y),(4x,2)] = [(0,-3),...

    Text Solution

    |

  12. Find the values of x, y and z from the following equation: [[x+y+z],[x...

    Text Solution

    |

  13. If A is a square matrix of order m, and if there exists another square...

    Text Solution

    |

  14. Construct a 2 xx 2 matrix A = [a(ij)] whose elements are given by...

    Text Solution

    |

  15. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

    Text Solution

    |

  16. find the element of a13 if A = [a(ij)] whose elements are given by: ...

    Text Solution

    |

  17. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

    Text Solution

    |

  18. Construct a 2xx2 matrix A = [a(ij)] whose elements are given by: a(i...

    Text Solution

    |

  19. Construct a 2 xx 3 matrix whose elements in the ith row and jth co...

    Text Solution

    |

  20. Construct a 2xx3 matrix whose elements in the with row and jth column ...

    Text Solution

    |

  21. Construct a 3xx2 matrix whose elements in the ith row and jth column a...

    Text Solution

    |