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

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE |14 Videos

  • LINEAR PROGRAMMING

    OMEGA PUBLICATION|Exercise Question (Miscellaneous Exercise) |8 Videos

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos

Similar Questions

Explore conceptually related problems

Matrices A and B will be inverse of each other if __________

Using the elementary row operations, find the inverse of each of the following matrices: [(1,2),(3,7)]

Using the elementary row operations, find the inverse of each of the following matrices: [(2,1),(7,4)]

Using the elementary row operations, find the inverse of each of the following matrices: [(1,3),(-5,7)]

Using the elementary row operations, find the inverse of each of the following matrices: [(1,-3),(-2,6)]

Using the elementary row operations, find the inverse of each of the following matrices: [(1,2,2),(2,1,2),(2,2,1)]

Using the elementary row operations, find the inverse of each of the following matrices: [(1,3,3),(1,4,3),(1,3,4)]

Using the elementary row operations, find the inverse of each of the following matrices: [(2,-1,3),(-5,3,1),(-3,2,3)]

Using the elementary row operations, find the inverse of each of the following matrices: [(1,2,-2),(-1,3,0),(0,-2,1)]

OMEGA PUBLICATION-MATRICES -MULTIPLE CHOICE QUESTIONS
  1. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to...

    Text Solution

    |

  2. If A = [ a(ij)]("mxn") is a rectangular matrix, then

    Text Solution

    |

  3. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

    Text Solution

    |

  4. The number of all possible matrices of order 3xx3 with each entry 0 o...

    Text Solution

    |

  5. If A matrix is symmetric as well as skew symmetric, then a. A is dia...

    Text Solution

    |

  6. Matrices A and B will be inverse of each other only if a. AB = BA ...

    Text Solution

    |

  7. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  8. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

    Text Solution

    |

  9. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  10. Which of the given values of x and y make the following pair of matri...

    Text Solution

    |

  11. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=1, if the v...

    Text Solution

    |

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

    Text Solution

    |

  13. If A=[(alpha,beta),(gamma,-alpha)] is such that A^(2)=I, then a. 1 ...

    Text Solution

    |

  14. If the matrix A is both symmetric and skew symmetric, then :

    Text Solution

    |

  15. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to...

    Text Solution

    |

  16. A=[a(ij)](mxxn) is a square matrix, if a. m < n b. m > n c. m ...

    Text Solution

    |

  17. If A,B symmetric matrices of the same order. Then AB-BA is a a. Ske...

    Text Solution

    |

  18. The number of all possible matrices of order 3xx3 with each entry 0 o...

    Text Solution

    |

  19. If A matrix is symmetric as well as skew symmetric, then a. A is dia...

    Text Solution

    |

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

    Text Solution

    |