Home
Class 12
MATHS
If matrix A=[[1, 2],[3, 4]] such that AX...

If matrix `A=[[1, 2],[3, 4]]` such that AX=I , then X=

A

`(1)/(2)[[1, 3], [2, -1]]`

B

`(1)/(2)[[4, 2], [4, -1]]`

C

`(1)/(2)[[-4, 2], [3, -1]]`

D

`(1)/(2)[[-1, 2], [-1, 4]]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If matrix A=[(1,2),(4,3)] , such that AX=l , then X is equal to

If A=[[1, 2], [3, 4]] and AX=I , then X=

If matrix A=[(1,2),(4,3)] such that Ax =I then x=

If a matrix A is such that 4A^(3)+2A^(2)+7A+I=0 , then A^(-1) equals

If a matrix A is such that 3A^(3)+2A^(2)+5A+I=0, then A^(-1) is equal to

If A=[[1, 2, 3], [-1, 1, 2], [1, 2, 4]], B=[[1], [2], [3]] and AX=B , then X=

In the matrix A=[(3-2x,x+1),(2,4)] is singular then X=?

If A is a 2xx2 matrix such that A^(2)-4A+3I=O , then prove that (A+3I)^(-1)=7/24 I-1/24 A .

If A is a 3xx3 matrix such that A^T = 5A + 2I , where A^T is the transpose of A and I is the 3xx3 identity matrix, then there exist a column matrix X=[[x],[y],[z]]!=[[0],[0],[0]] then AX is equal to

If A={:((1,2),(3,4)):} and X is a 2 xx2 matrix such that AX = I , find X.

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If [[1, 1], [0, 1]]A=I, then A=

    Text Solution

    |

  2. If A=[[1, 2], [3, 4]] and AX=I, then X=

    Text Solution

    |

  3. If matrix A=[[1, 2],[3, 4]] such that AX=I , then X=

    Text Solution

    |

  4. If A=[[1, tan((theta)/(2))], [-tan((theta)/(2)), 1]] and AB=I, then B=

    Text Solution

    |

  5. If AX=B, where {:A=[(-1,2),(2,-1)]:},{:B=[(3),(1)]:}, then X=

    Text Solution

    |

  6. The matrix A satisfying A[[1, 5], [0, 1]]=[[3, -1], [6, 0]] is

    Text Solution

    |

  7. If A=[[1, 2], [-1, 3]], B=[[0, 1], [2, 4]] and AX=B, then X=

    Text Solution

    |

  8. If A=[[1, 1], [1, 2]], B=[[4, 1], [3, 1]], C=[[24, 7], [31, 9]] and AX...

    Text Solution

    |

  9. If [[2, 1], [3, 2]]A[[-3, 2], [5, -3]]=[[1, 0], [0, 1]], then A=

    Text Solution

    |

  10. The inverse of the matrix [[x, 0, 0], [0, y, 0], [0, 0, z]] is

    Text Solution

    |

  11. The inverse of the matrix [[2, 0, 0], [0, 1, 0], [0, 0, -1]] is

    Text Solution

    |

  12. If A=[[0, 1, 0], [1, 0, 0], [0, 0, 1]], then A^(-1)=

    Text Solution

    |

  13. The inverse of [[0, 0, 1], [0, 1, 0], [1, 0, 0]] is

    Text Solution

    |

  14. The inverse of the matrix [[1, 0, 0], [2, 1, 0], [3, 3, 1]] is

    Text Solution

    |

  15. The inverse of the matrix [[2, 1, 3], [1, 0, 1], [1, 1, 1]] is

    Text Solution

    |

  16. The inverse of the matrix [[1, 3, 3], [1, 4, 3], [1, 3, 4]] is

    Text Solution

    |

  17. The inverse of the matrix [[3, -2, -1], [-4, 1, -1], [2, 0, 1]] is

    Text Solution

    |

  18. The inverse of the matrix [[1, 0, 0], [3, 3, 0], [5, 2, -1]] is

    Text Solution

    |

  19. If A=[[1, 0, 0], [a, 1, 0], [b, c, 1]], then A^(-1)=

    Text Solution

    |

  20. The inverse of the matrix [[1, 2, 3], [0, 2, 4], [0, 0, 5]] is

    Text Solution

    |