Home
Class 12
MATHS
If a d j\ A=[(2, 3),(4,-1)] and a d j\ B...

If `a d j\ A=[(2, 3),(4,-1)]` and `a d j\ B=[(1,-2),(-3, 1)]` , find `a d j\ A Bdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos

Similar Questions

Explore conceptually related problems

If A=[(1 ,-3),( 2, 0)] , write a d j\ A .

If A=[(a , b),( c, d)] , B=[(1 ,0),( 0, 1)] , find a d j\ (A B) .

If A=|[a, b], [c ,d]| , find a d j\ A .

If A=[(3, 1) , ( 2 ,-3)] , then find |a d j\ A| .

If A=[(2,-1, 1),(-1, 2,-1),( 1,-1, 2)] , find (a d j\ A)^(-1) and (a d j\ A^(-1)) .

If A=[(-1,-2,-2 ),(2, 1,-2),( 2,-2 ,1)] , show that a d j\ A=3A^T .

If A= [ [1, 2] , [-1, 1]] , then det (a d j\ A)) is ?

If A=|[3, 0,-1], [2, 3 ,0], [0, 4, 1]| , then find |a d j\ (a d j\ A)| .

Verify A (a d j A) = (a d j A) A = |A|I [(1,-1,2),(3,0,-2),(1,0,3)]

If A=d i ag(1-1 2) and B=d i ag(2 , 3 -1), find A+B ,3A+4Bdot

RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. If A ,\ B ,\ C are three non-null square matrices of the same order...

    Text Solution

    |

  2. If A is a non-singular square matrix such that A^(-1)=[(5, 3),(-2,-1...

    Text Solution

    |

  3. If a d j\ A=[(2, 3),(4,-1)] and a d j\ B=[(1,-2),(-3, 1)] , find a d j...

    Text Solution

    |

  4. If A is a symmetric matrix, write whether A^T is symmetric or skew-sym...

    Text Solution

    |

  5. If A is a square matrix of order 3 such that |A|=3 , then write the va...

    Text Solution

    |

  6. If A is a square matrix of order 3 such that |A| =3 then find the val...

    Text Solution

    |

  7. If A is a square matrix of order 3 such that |A|=2 , then write the va...

    Text Solution

    |

  8. If A is a square matrix, then write the matrix a d j(A^T)-(a d j\ A...

    Text Solution

    |

  9. Let A be a 3xx3 square matrix such that |A| = 3 Write the value o...

    Text Solution

    |

  10. If A is a non-singular symmetric matrix, write whether A^(-1) is sy...

    Text Solution

    |

  11. If A=[(costheta,sintheta),(-sintheta,costheta)] , then find the value...

    Text Solution

    |

  12. If A is an invertible matrix such that |A^(-1)|=2 , find the value ...

    Text Solution

    |

  13. If A is a square matrix such that A(a d j\ A)=[(5, 0, 0),(0, 5, 0),(...

    Text Solution

    |

  14. If A=[(2, 3),(5,-2)] be such that A^(-1)=k\ A , then find the value of...

    Text Solution

    |

  15. Let A be a square matrix such that A^2-A+I=O , then write A^(-1) in...

    Text Solution

    |

  16. If A(i j) is the cofactor of the element a(i j) of the determinant [(2...

    Text Solution

    |

  17. Find the inverse of the matrix [(3 ,-2 ),(-7 , 5)] .

    Text Solution

    |

  18. Find the inverse of the matrix [(costheta ,sintheta) ,( -sintheta ,c...

    Text Solution

    |

  19. If A=[(1 ,-3),( 2, 0)] , write a d j\ A .

    Text Solution

    |

  20. If A=[(a , b),( c, d)] , B=[(1 ,0),( 0, 1)] , find a d j\ (A B) .

    Text Solution

    |