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

`A=[[-1,0,2],[4,0,-3]]` , `B=[[0,2],[-1,3],[0,4]]`
Verify `(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

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

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

A=[[-1,0,2],[4,0,-3]] , B=[[0,2],[-1,3],[0,4]] What is the order of matrix AB ?

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

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

Let A=[[1,2,-3],[2,1,-1]] B=[[2,3],[5,4],[1,6]] Find A^T , B^T & (AB)^T

For the matrices A=[[-1, 2],[ 3, 4]] and B=[[2, 5],[ 3, 6]] , verify that (AB)^(-1)=B^(-1) A^-1?

If A=[(-1),(2),(3)] and B=[-2 -1 -4] Verify that (AB)^T=B^T.A^T

If A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]] and B=[[1,2,-2],[-1,3,0],[0,-2,1]] find (AB)^-1

MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. A=[[-1,0,2],[4,0,-3]] , B=[[0,2],[-1,3],[0,4]] What is the order of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If A=[[-2],[4],[5]] B=[[1,3,6]] Find A^T , B^T

    Text Solution

    |

  8. If A=[[-2],[4],[5]] B=[[1,3,6]] Find (AB)^T

    Text Solution

    |

  9. If A=[[-2],[4],[5]] B=[[1,3,6]] (AB)^T=B^TA^T

    Text Solution

    |

  10. Let A=[[3,1],[-1,2]] Find A^2

    Text Solution

    |

  11. Let A=[[3,1],[-1,2]] Show that A^2-5A+7I=0

    Text Solution

    |

  12. Let A=[[3,1],[-1,2]] find A^-1

    Text Solution

    |

  13. Let A=[[3,1],[-1,2]] Solve the following equation using matrix : 3x+...

    Text Solution

    |

  14. A=[[1,2,3],[3,-2,1],[4,2,1]] Show that A^3-23A-40I=0

    Text Solution

    |

  15. A=[[1,2,3],[3,-2,1],[4,2,1]] A^-1

    Text Solution

    |

  16. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

    Text Solution

    |

  17. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

    Text Solution

    |

  18. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

    Text Solution

    |

  19. Find X and Y if X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]]

    Text Solution

    |

  20. Find X and Y if 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[-2,2],[-1,5]]

    Text Solution

    |