Home
Class 12
MATHS
Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0...

Let `A=[[2,1,3],[4,1,0]]` and `B=[[1,-1],[0,2],[5,0]]`
Show that `(AB)^T=B^TA^T`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MAXIMUM PUBLICATION|Exercise EXAMPLE|58 Videos

  • MODEL QUESTION

    MAXIMUM PUBLICATION|Exercise EXAMPLE|322 Videos

Similar Questions

Explore conceptually related problems

Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find AB

Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find A^T and B^T

Given A=[[1,2],[3,-1],[4,2]] , B=[[-1,4,-5],[2,1,0]] Show that ABneBA

Let A=[[1,2,-3],[2,1,-1]] B=[[2,3],[5,4],[1,6]] Verify that (AB)^T=B^TA^T

If A^T=[[3,4],[-1,2],[0,1]] and B=[[-1,2,1],[1,2,3]] then verify that (A-B)^T=A^T-B^T

Let A=[[1,2],[3,4]] , B=[[2,1],[4,5]] , C=[[1,-1],[0,2]] Show that (A+B)+C=A+(B+C)

Let A=[[1,2,-3],[2,1,-1]] B=[[2,3],[5,4],[1,6]] Find AB .

If A= [[-1,2,3],[5,7,9],[-2,1,1]] and B= [[-4,1,-5],[1,2,0],[-1,3,1]] then verify that (A+B)^T=A^T +B^T

Let A=[[1,2,3],[3,1,2]] and B=[[-3,1,0],[1,3,-2]] Evaluate 3A-B

Of the matrices A=[(2,1,3),(4,1,0)] and B=[(1,-1),(0,2),(5,0)] Find AB , B^T , (AB)^T

MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find A^T and B^T

    Text Solution

    |

  2. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find AB

    Text Solution

    |

  3. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Show that (AB)^T=...

    Text Solution

    |

  4. A=[[1,-3,1],[2,0,4],[1,2,-2]] Express A as the sum of a symmetric and ...

    Text Solution

    |

  5. Consider a 2xx2 matrix A=[a(ij)] , where a(ij)=(i+j)^2/2 . Write t...

    Text Solution

    |

  6. Consider a 2xx2 matrix A=[a(ij)] , where a(ij)=(i+j)^2/2 . Show th...

    Text Solution

    |

  7. A=[[6,5],[7,6]] is a matrix What is the order of A .

    Text Solution

    |

  8. A=[[6,5],[7,6]] is a matrix Find A^2 and 12A .

    Text Solution

    |

  9. A=[[6,5],[7,6]] is a matrix f(x)=x^2-12x+1 , find f(A) .

    Text Solution

    |

  10. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

    Text Solution

    |

  11. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

    Text Solution

    |

  12. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

    Text Solution

    |

  13. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

    Text Solution

    |

  14. Let A=[[1,2],[3,4]] , B=[[2,1],[4,5]] , C=[[1,-1],[0,2]] Find A+B an...

    Text Solution

    |

  15. Let A=[[1,2],[3,4]] , B=[[2,1],[4,5]] , C=[[1,-1],[0,2]] Show that (...

    Text Solution

    |

  16. Let A=[[1,2],[3,4]] , B=[[2,1],[4,5]] , C=[[1,-1],[0,2]] Find AB and...

    Text Solution

    |

  17. A=[[-1,0,2],[4,0,-3]] , B=[[0,2],[-1,3],[0,4]] What is the order of ...

    Text Solution

    |

  18. A=[[-1,0,2],[4,0,-3]] , B=[[0,2],[-1,3],[0,4]] Find A^T , B^T

    Text Solution

    |

  19. A=[[-1,0,2],[4,0,-3]] , B=[[0,2],[-1,3],[0,4]] Verify (AB)^T=B^TA^T

    Text Solution

    |

  20. Let A=[[1,2,-3],[2,1,-1]] B=[[2,3],[5,4],[1,6]] Find AB .

    Text Solution

    |