Home
Class 12
MATHS
If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4...

If `A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)]` then prove that :
(AB)' = B'A'

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

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : AB ne BA

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A(B+C) = AB+AC

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A(BC) = (AB)C

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : BB' = 10C

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A^2 - 2A + I = O

Taking A = [(1,3),(2,4)] and B = [(1,4),(2,5)] , verify that (AB)' = B'A'

Taking A = [(1,2),(-3,0)], B = [(0,1), (2,3)] and C = [(3,1),(0,2)] , verify that A + (B+C) = (A+B ) +C

Let A = [(1,0),(2,3)], B = [(0,1,2),(3,2,1)] and C = [(1,0,4),(-2,1,0),(3,2,6)] . Verify that (AB) C = A (BC)

If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)] , then porve that (A+B)' = A' + B'

If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)] , then porve that (A-B)' = A' - B'

MODERN PUBLICATION-MATRICES-EXERCISE
  1. If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] the...

    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

    |