Home
Class 12
MATHS
If A, B, and C are three square matrices...

If A, B, and C are three square matrices of the same order, then `AB=AC implies B=C`. Then

A

singular

B

non -singular

C

symmetric

D

skew symmetric

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 ( Straight Objective Type Questions ) )|11 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 (Numercial Answer Type Questions))|18 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

If A,B and C are the square matrices of the same order and AB=AC implies B=C, then (A) A is singular (B) A is non-singular (C) A is symmetric (D) A may be any matrix B.

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

If A and B are any two square matrices of the same order than ,

If A and B are square matrices of same order, then

If A,B,C are three square matrices of the same order,then AB=AC rArr B=C .Then |A|!=0 b.A is invertible c.A may be orthogonal d.is symmetric

If A and B are square matrics of the same order then (A+B)(A-B)=?

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?

If A and B are square matrices of the same order and AB=3I , then A^(-1)=

If A, B and C are three sqare matrices of the same order such that A = B + C, then det A is equal to

MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

    Text Solution

    |

  2. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |

  3. If A, B, and C are three square matrices of the same order, then AB=AC...

    Text Solution

    |

  4. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a m...

    Text Solution

    |

  5. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

    Text Solution

    |

  6. [{:(,0,1,2),(,1,2,3),(,3,a,1):}],=A^(-1)=[{:(,1//2,-1//2,1//2),(,-4,3,...

    Text Solution

    |

  7. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

    Text Solution

    |

  8. If A =[(1,2),(3,4)] then A^(2)-5A equals

    Text Solution

    |

  9. Solve system of linear equations, using matrix method, x y" "+" "2...

    Text Solution

    |

  10. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

    Text Solution

    |

  11. Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...

    Text Solution

    |

  12. If A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(beta, alpha)] then (A) alph...

    Text Solution

    |

  13. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  14. If a matrix A is both symmetric and skew-symmetric, then A is a dia...

    Text Solution

    |

  15. Let A = [(2,-1),(3,4)], B = [(5,2),(7,4)] , C = [(2,5),(3,8)] . Let ...

    Text Solution

    |

  16. If A^2 = A, then (I + A)^(4) is equal to

    Text Solution

    |

  17. The matrix A = [(0,0,-7),(0,-7,0),(-7,0,0)] is a

    Text Solution

    |

  18. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

    Text Solution

    |

  19. Find the values of x, y, z if the matrix A=[0 2y z x y-z x-y z] sat...

    Text Solution

    |

  20. Suppose A is square matrix such that A^(3) =I then (A+I)^(3) +(A-I)^...

    Text Solution

    |