Home
Class 14
MATHS
Let A and B be two matrices of order n x...

Let A and B be two matrices of order `n xx n`. Let A be a non singular. Cosider the following.

A

AB is a singular

B

AB is a non singular

C

`A^(-1)B` is a singular

D

`A^(-1)B` is non singular

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos
  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two matrices of order n xx n. Let A be non-singular and B be singular. Consider the following : 1. AB is singular 2. AB is non-singular 3. A^(-1) B is singular 4. A^(-1) B is non singular Which of the above is/are correct ?

If A and B are two matrices such that AB if of order n xx n, then which one of the following is correct?

If A and B are two skew symmetric matrices of order n then

Let A and B be matrices of order 3xx3. If AB=0, then which of the following can be concluded?

Let A;B;C be square matrices of the same order n. If A is a non singular matrix; then AB=AC then B=C

Consider the following statements. I. The inverse of the square matrix, if it exits, is unique. II. If A and B are singular matrices of order n. then AB is also a singular matrix of order n. Which of the statements given above is/are correct ?

If A and B are non-singular matrices, then

Consider the following statements. I. The inverse of a square matrix, if it exists, is unique. II. If A and B are singular matrices of order n, then AB is also a singular matrix of order n. Which of the statements given above is/are correct ?

Let A and B are two matrices such that AB = BA, then for every n in N

Let A and B be two 3xx3 invertible matrices . If A + B = AB then

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. Let A and B be two matrices of order n xx n. Let A be a non singular. ...

    Text Solution

    |

  2. If A=[{:(1,-1),(-1,1):}] then the expression A^(3)-2A^(2) is

    Text Solution

    |

  3. If A=[{:(1,2),(2,3),(3,4):}] and B=[{:(1,2),(2,1):}] then Which one ...

    Text Solution

    |

  4. If B=[{:(3,2,0),(2,4,0),(1,1,0):}] than what is adjoint of B equal to ...

    Text Solution

    |

  5. If A=[{:(0,1),(1,0):}] then the matrix A is

    Text Solution

    |

  6. Consider the following in respect of matrices A and B of same order: ...

    Text Solution

    |

  7. Let matrix B be the adjoint of a square matrix A.I be the identity mat...

    Text Solution

    |

  8. Consider the following in respect of matrices A,B and C of same order....

    Text Solution

    |

  9. The system of equation 2x+y-3z=5 3x-2y+2z=5 and 5x-3y-z=16

    Text Solution

    |

  10. What should be the value of x so that the matrix ({:(2,4),(-8,X):}) do...

    Text Solution

    |

  11. If A and B are two invertible square matrices of same order, then what...

    Text Solution

    |

  12. What is the adjoint of the matrix : ({:(cos (-theta),-sin (-theta)),...

    Text Solution

    |

  13. For a square matrix A. which of the following properties hold ? I. (...

    Text Solution

    |

  14. A square matrix A is called orthogonal if.

    Text Solution

    |

  15. If A=({:(1,2),(2,3):}) and A^(2) -KA-I(2)=O," where "I(2) is the 2xx2 ...

    Text Solution

    |

  16. If A is a 2xx3 matrix and AB is a 2xx5 matrix. Then B must be a

    Text Solution

    |

  17. What is the inverse of the matrix A=({:(cos theta, sin theta ,0),(- ...

    Text Solution

    |

  18. If A=[{:(4i-6,10i),(14i,6+4i):}] and K=(1)/(2i), where i= sqrt(-1). Th...

    Text Solution

    |

  19. If A is a square matrix, then the value of adj A^(T)-(adj A)^(T) is eq...

    Text Solution

    |

  20. If a,b,c are non-zero real numbers, then the inverse of the matrix A=[...

    Text Solution

    |

  21. The ad joint of the matrix A= [{:(1,0,2),(2,1,0),(0,3,1):}] is :

    Text Solution

    |