Home
Class 12
MATHS
Matrices A and B will be inverse of each...

Matrices A and B will be inverse of each other only if-

A

AB = BA

B

AB = BA = 0

C

AB = 0, BA = I

D

AB = BA = I

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 3|15 Videos
  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.3|14 Videos
  • LINEAR PROGRAMMING

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|8 Videos
  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

Similar Questions

Explore conceptually related problems

Martices A and B will be inverse of each other only if

Find the adjoint and inverse of each of the following matrices : ((a,b),(c,d))

Find the adjoint and inverse of each of the following matrices : ((2,-1),(-4,3))

Find the adjoint and inverse of each of the following matrices : A = [(3,4),(1,2)]

Find the adjoint and inverse of each of the following matrices : A = [(1,2,-1),(2,4,6),(1,1,-2)]

Find the adjoint and inverse of each of the following matrices : [(cos alpha, sin alpha), (-sin alpha, cosalpha)]

Find the adjoint and inverse of each of the following matrices : A = [(a+ib, c +id),(-c + id,a - ib)] where a^(2) + b^(2) + c^(2) + d^(2) = 1

Let A be an mxxn matrix. If there exists a matrix L of type nxxm such that LA=I_(n) , then L is called left inverse of A. Which of the following matrices is NOT left inverse of matrix [(1,-1),(1,1),(2,3)]?

Two nxxn square matrices A and B are said to be similar if there exists a non - singular matrix C such that C^(-1) AC = B . If A and B are two singular matrices, then-

Two radii OA and OB of a circle with centre O are perpendicular to each other. If two tangents are drawn at the point A and B intersect each other at the point T, prove that AB= OT and they bisect each other at a ridght angle.

NCERT BANGLISH-MATRICES-EXERCISE 3.4
  1. Using elementary transformations, find the inverse of the matrices ...

    Text Solution

    |

  2. Using elementary transformations, find the inverse of the matrices ...

    Text Solution

    |

  3. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  4. Using elementary transformations, find the inverse of the matrices ...

    Text Solution

    |

  5. If A=[[0,5],[1,0]] , B= [[1,1],[1,0]] ,then find AB .

    Text Solution

    |

  6. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  7. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  8. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  9. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  10. Using elementary transformations, find the inverse of the matrices ...

    Text Solution

    |

  11. Using elementary transformations, find the inverse of the matrices ...

    Text Solution

    |

  12. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  13. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  14. Using elementary transformations, find the inverse of the matrices ...

    Text Solution

    |

  15. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  16. IfX-[[4,-5],[1,-3]] = [[0,1],[2,4]],then find the matrix X.

    Text Solution

    |

  17. Using elementary transformations, find the inverse of the matrices [...

    Text Solution

    |

  18. Matrices A and B will be inverse of each other only if-

    Text Solution

    |