Home
Class 12
MATHS
If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB ...

If `A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]]` , then verify that `(A+B)' = A' + B'`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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)' = A' - B'

If A = {:[(-1,2,3),(5,7,9),(-2,1,1)] and B = [(-4,1,-5),(1,2,0),(1,3,1)] , then show that (A +B) = A'+B'

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

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

If A = [[1],[5],[6]], B = [[2,1,-5]] , verify that (AB)' = B'A' .

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

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

If A = [(-2),(4),(5)] , B = [(1,3,-6)] , then verify that (AB)' = B'A'

PSEB-MATRICES-Exercise
  1. Find the transpose of the following matrix : [[1,-1],[2,3]]

    Text Solution

    |

  2. Find the transpose of the following matrix: [[-1,5,6],[sqrt3,5,6],[2,...

    Text Solution

    |

  3. If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]] ...

    Text Solution

    |

  4. If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]]...

    Text Solution

    |

  5. If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify ...

    Text Solution

    |

  6. IfA' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If A = [[cos alpha,sin alpha],[-sin alpha,cos alpha]] , then verify th...

    Text Solution

    |

  11. If A = [[sin alpha,cos alpha],[-cos alpha,sin alpha]], then verify tha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. For the matrix A= ((1,5),(6,7)) , verify that : A + A' is a Symmetric ...

    Text Solution

    |

  15. For the matrix A= ((1,5),(6,7)) , verify that : A - A' is a Skew-Symme...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |