Home
Class 11
MATHS
If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-...

If `A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)]`, verify the
`(A-B)^(T)=A^(T)-B^(T)`

Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 7.2|21 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 7.3|6 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|39 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

Similar Questions

Explore conceptually related problems

If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)] , verify the (B^(T))^(T)=B.

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

If A=[{:(3,2),(7,5)],andB=[(-1,-3),(5,2):}] verify that (AB)^(-1)=B^(-1)A^(-1) .

If A=[(5, 2, 9), (1, 2, 8)], B=[(1, 7), (1, 2), (5, -1)] verify that (AB)^(T)=B^(T)A^(T) .

If A= [(2,1,2),(1,2,0),(2,1,-1)] ,B= [(1,1,0),(2,2,1),(1,0,-1)] Verify the following (iI) (A-B)^(T)=A^(T)-B^(T)

If A= [(2,1,2),(1,2,0),(2,1,-1)] ,B= [(1,1,0),(2,2,1),(1,0,-1)] Verify the following (i) (A+B)^(T)=A^(T)+B^(T)

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-SOLUTION TO EXERCISE 7.1
  1. Given your own examples of matrices satisfying the conditions in each ...

    Text Solution

    |

  2. Show that f (x) f (y) = f(x+y) , where f(x)=[(cosx,-sinx,0),(sinx,co...

    Text Solution

    |

  3. If A is a square matrix such that A^(2) = A, find the value of 7A-(I+A...

    Text Solution

    |

  4. Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are g...

    Text Solution

    |

  5. Find the matrix A which satisfies the matrix relation A [(1,2,3),(4,5,...

    Text Solution

    |

  6. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

    Text Solution

    |

  7. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

    Text Solution

    |

  8. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

    Text Solution

    |

  9. If A is a 3xx4 matrix and B is a matrix such that both A^(T)B and BA^(...

    Text Solution

    |

  10. Express the matrices as the sum of a symmetric matrix and a skew -sym...

    Text Solution

    |

  11. Express the matrices as the sum of a symmetric matrix and a skew -symm...

    Text Solution

    |

  12. Find the matrix A such that [(2,-1),(1,0),(-3,4)]A=[(-1,-8,10),(1,2,-5...

    Text Solution

    |

  13. If A=[(1,2,2),(2,1,-2),(x,2,y)] is a matrix such that "AA"^(T) =9I, fi...

    Text Solution

    |

  14. For what value of x, the matrix A=[(0,1,-2),(-1,0,x^(3)),(2,-3,0)] is ...

    Text Solution

    |

  15. If [(0,p,3),(2,q^(2),-1),(r,1,0)] is skew- symmetric, find the values ...

    Text Solution

    |

  16. Construct the matrix A = [a(ij)](3xx3), where a(ij)=i-j. State whether...

    Text Solution

    |

  17. Let A and B be two symmetric matrices. Prove that AB= BA if and only i...

    Text Solution

    |

  18. If A and B are symmetric matrices of same order, prove that AB+BA is...

    Text Solution

    |

  19. If A and B are symmetric matrices of same order, prove that AB-BA is...

    Text Solution

    |

  20. A shopkeeper in a Nuts and Spices shop makes gift packs of cashew Nuts...

    Text Solution

    |