Home
Class 11
MATHS
From the matrix equation AB=AC, we concl...

From the matrix equation AB=AC, we conclude B=C provided.

A

A is singular

B

A is non-singular

C

A is symmetric

D

A is square

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|79 Videos
  • LOGARITHMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos
  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

From the following V-T diagram we can conclude:-

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

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

If A cap B = A cup B then what can we conclude ?

In a parallelogram as shown in the figure (a != b) Prove that the equation of the diagonal AC is (a + b) x + (a + b)y = 3 ab

In a triangleABC , B=(2,3),C=(7,-1) and AB=3,AC=5 then find the equation of altitude through the vertex A.

Let A be an orthogonal matrix, and B is a matrix such that AB=BA , then show that AB^(T)=B^(T)A .

If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that vec(AC)=3 vec(AB) is

OBJECTIVE RD SHARMA ENGLISH-MATRICES-Chapter Test
  1. If A+B={:[(1,0),(1,1)]:}andA-2B={:[(-1,1),(0,-1)]:}, then A is equal t...

    Text Solution

    |

  2. {:[(-6,5),(-7,6)]^(-1)=:}

    Text Solution

    |

  3. From the matrix equation AB=AC, we conclude B=C provided.

    Text Solution

    |

  4. If I3 is the identily matrix of order 3, then (I3)^(-1)=

    Text Solution

    |

  5. Let a ,b , c be real numbers. The following system of equations in x ,...

    Text Solution

    |

  6. If A and B are two matrices such that A+B and AB are both defind, then

    Text Solution

    |

  7. A and B are tow square matrices of same order and A' denotes the tran...

    Text Solution

    |

  8. STATEMENT-1: The lines a(1)x+b(1)y+c(1)=0a(2)x+b(2)y+c(2)=0,a(3)x+b(3)...

    Text Solution

    |

  9. The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...

    Text Solution

    |

  10. If A and B ar square matrices of order 3 such that |A|=-1|B|=3, then |...

    Text Solution

    |

  11. If the points (x1,y1),(x2,y2)and(x3,y3) are collinear, then the rank o...

    Text Solution

    |

  12. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2...

    Text Solution

    |

  13. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

    Text Solution

    |

  14. If {:A=[(1,2,2),(2,3,0),(0,1,2)]and adjA=[(6,-2,-6),(-4,2,x),(y,-1,-1)...

    Text Solution

    |

  15. If A is a square matrix such that A*(AdjA)=[{:(4,0,0),(0,4,0),(0,0,4):...

    Text Solution

    |

  16. If n is a natural number. Then {:[(2,-1),(3,-2)]^n:}, is

    Text Solution

    |

  17. Given x=cy+bz,y=az+cx and that a^(2) +b^(2) +c^(2) +2abc =1.

    Text Solution

    |

  18. If A is a singular matrix, then A (adj A) is a

    Text Solution

    |

  19. If {:A=[(0,1),(1,0)]:},I is the unit matrix of order 2 and a, b are a...

    Text Solution

    |

  20. If {:A=[(cos theta,-sintheta),(sintheta,costheta)]:}, then which one o...

    Text Solution

    |