Home
Class 12
MATHS
For the matrices A and B, verify that (A...

For the matrices A and B, verify that `(AB)' = B'A'`, where : `A = [[1],[-4],[3]], B = [[-1,2,1]]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PRADEEP PUBLICATION|Exercise EXERCISE|335 Videos

  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos

  • MODEL PAPER (1)

    PRADEEP PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

For the matrices A and B, verify that (AB)' = B'A' , where : A = [[0],[1],[2]], B = [[1,5,7]]

Verify that (AB)' = B'A', when : A=[[3],[-1],[4]] and [[7 -7 12]]

Verify that (AB)' = B'A', when : A=[[4],[0],[7]] and [[-1 -6 5]]

Verify that (AB)' = B'A', when : A=[[3],[-1],[5]] and [[-6 7 10]]

Verify that (AB)' = B 'A ' in A=[[1,2],[3,-4]] and B=[[4,3],[2,1]]

Verify that (AB)' = B 'A ' in A=[[1,2,1],[3,2,1]] and B=[[3,1],[1,1],[2,1]]

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

Verify that (AB)' = B 'A ' in A=[[2,1,2],[1,2,1]] and B=[[1,2],[2,1],[1,1]]

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

Verify (AB)^-1 = B^(-1)A^(-1) for the matrices A and B. Where : A = {:[(4,1),(6,5)] and B = [(2,5),(1,6)]

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)], then porve th...

    Text Solution

    |

  2. If A' = [(-2,3),(1,2)] and B = [(-1,0),(1,2)] then find (A+2B)'

    Text Solution

    |

  3. For the matrices A and B, verify that (AB)' = B'A', where : A = [[1],[...

    Text Solution

    |

  4. For the matrices A and B, verify that (AB)' = B'A', where : A = [[0],[...

    Text Solution

    |

  5. If A = [(cos alpha , sin alpha),(-sinalpha, cosalpha)], verify that AA...

    Text Solution

    |

  6. If A = {:[(sinalpha, cosalpha),(-cosalpha,sinalpha)], then prove that ...

    Text Solution

    |

  7. Show that the matrix A = [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric m...

    Text Solution

    |

  8. Show that the matrix A = [[0,1,-1],[-1,0,1],[1,-1,0]] is a skew symmet...

    Text Solution

    |

  9. For the matrix A=[(1,5),(6,7)], verify that (A+A') is a symmetric matr...

    Text Solution

    |

  10. For the matrix A=[(1,5),(6,7)], verify that (A-A') is a skew symmetr...

    Text Solution

    |

  11. Find (1)/(2)(A+A')and(1)/(2)(A-A'), when A=[(0,a,b),(-a,0,c),(-b,-c,0)...

    Text Solution

    |

  12. Express the following matrices as the sum of a symmetric and a skew sy...

    Text Solution

    |

  13. Express the following matrices as sum of a symmetric and a skew symme...

    Text Solution

    |

  14. Express the following matrices as the sum of a symmetric and skew-symm...

    Text Solution

    |

  15. Express the following matrices as sum of a symmetric and a skew symme...

    Text Solution

    |

  16. If A, B are symmetric matrices of same order, then AB - BA is a :

    Text Solution

    |

  17. If A = [(cosalpha, -sinalpha),(sinalpha, cosalpha)], then A + A' = I, ...

    Text Solution

    |

  18. Using elementary transformation, find the inverse of the following mat...

    Text Solution

    |

  19. Using elemenatry transformations, find the inverse of the following ma...

    Text Solution

    |

  20. Using elemenatry transformations, find the inverse of the following ma...

    Text Solution

    |