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

    BODY BOOKS PUBLICATION|Exercise EXERCISE|2 Videos

  • PROBABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|8 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

BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. Let A=[(0,a),(b,0)] If A^4=I2 then show that ab=1.

    Text Solution

    |

  2. Of the matrices 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. If a matrix has 5 elements, write all possible order it can have.

    Text Solution

    |

  5. Consider the matrix A=[(3,10),(2,7)] Express the matrix as A=IA.

    Text Solution

    |

  6. Consider the matrix A=[(3,10),(2,7)] Find A^-1 using elementary row tr...

    Text Solution

    |

  7. If A=[[1 , 1, 1],[ 1, 1, 1],[ 1, 1 , 1]], prove that A^n=[[3^(n-...

    Text Solution

    |

  8. If A=[(costheta,sintheta),(-sintheta,costheta)] Find A^2

    Text Solution

    |

  9. If A=[[cos theta, sin theta],[ -sin theta, cos theta]], then prove ...

    Text Solution

    |

  10. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

  11. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

  12. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

  13. Write two non-zero matrices A and B for which AB=0.

    Text Solution

    |

  14. Express A=[(1,-1),(2,3)] as the sum of a symmetric matrix and a skew s...

    Text Solution

    |

  15. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.

    Text Solution

    |

  16. For any square matrix A,prove that A+A' is symmetric.

    Text Solution

    |

  17. If A is a skew symmetric matrix of order 3. Then prove that it's deter...

    Text Solution

    |

  18. Given abs [[2+x,3,4],[1,-1,2],[x,1,5]] is a singular matrix. Find the ...

    Text Solution

    |

  19. Given A and B are square matrices of order 2 such that absA=-1, absB=3...

    Text Solution

    |

  20. For the symmetric matrix A=[(2,x,4),(5,3,8),(4,y,9)].Find the value of...

    Text Solution

    |