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

A

AB=BA

B

AB-BA=O

C

AB=O,BA=I

D

AB=BA=I

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos
  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos
  • MOCK TEST-1

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

if AB = A and BA = B, then

If A and B are two square matrices of the same order, then AB=BA .

If A and B are symmetric matrices of same order then AB + BA is a :

If A and B are symmetric matrices of same order then AB - BA is a :

If AB=A and BA=B, then B^2 =

If A and B be square matrices of the same order such that AB=BA, prove that : (A-B)^2 = A^2 - 2AB + B^2

For the matrices A and B, verify that (AB)' = B'A' , where : A = [[0],[1],[2]], B = [[1,5,7]]

If A and B are square matrices of the same order such that AB = BA, then compute (2A + B) (A + 2 B).

Give examples of matrics A and B such that AB ne BA

MODERN PUBLICATION-MATRICES-EXERCISE
  1. If A, B are symmetric matrices of same order, then AB - BA is a :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If the matrix A is both symmetric and skew symmetric, then a. A is d...

    Text Solution

    |

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

    Text Solution

    |

  7. The matrix {:[(0,0,5),(0,5,0),(5,0,0)] is a scalar matrix. State true ...

    Text Solution

    |

  8. If A is a matrix of order mxxn and B is a matix such that AB' and B'A ...

    Text Solution

    |

  9. For any two matrices A and B, we have

    Text Solution

    |

  10. If AB = C , where B and C are matrices of orders 3xx5, then the order ...

    Text Solution

    |

  11. If AB = C, where B and C are matrices of order 3 xx 4, then the order ...

    Text Solution

    |

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

    Text Solution

    |

  13. If A and B are invertible matrices , then:

    Text Solution

    |

  14. If A is a non-singular matrix of ordern, then |adj A| is equal to

    Text Solution

    |

  15. If 2{:[(x,z),(2,0)]+3[(1,-1),(0,2)]=[(9,15),(4,6)], then the values of...

    Text Solution

    |

  16. If for a square matrix A,AB=BA = I, then inverse of B is

    Text Solution

    |

  17. If A is of order mxxn, B is of order pxxq such that AB is defined, the...

    Text Solution

    |

  18. If A + B = C, where A and B are matrices of order 2 xx 3, then order o...

    Text Solution

    |

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

    Text Solution

    |

  20. If x[[2],[3]] + y[[-1],[1]] = [[10],[5]] , find the values of x and y.

    Text Solution

    |