Home
Class 12
MATHS
From the matrix equation AB = AC, which ...

From the matrix equation AB = AC, which one of the following can be concluded ?

A

B = C for any matrix A

B

B = C, if A is singular

C

B = C, if A is non-singular

D

A = B = C for any matrix A

Text Solution

Verified by Experts

The correct Answer is:
C
If AB = AC, then
B = C, if A is non-singular.
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    NDA PREVIOUS YEARS|Exercise MCQ|59 Videos

  • PAIR OF STRAIGHT LINES

    NDA PREVIOUS YEARS|Exercise Example|12 Videos

Similar Questions

Explore conceptually related problems

Which one of the following can be obtained from an ogive?

Frequency curves for the distribution of blood pressure readings of certain anthletes before exercise (A) and after exercise (B) are plotted together as shown in the figure above. From the frequency curves, which one of hte following can be concluded?

Which one of the following can be obtained from a histogram ?

If A=(1,2,3,4,8}, then which of the following can be concluded ?

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

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

Which one of the following is a scalar matrix

NDA PREVIOUS YEARS-MATRICES & DETERMINANTS-MQS
  1. In respect of the equation [{:(2,3),(4,6):}][{:(x),(y):}]=[{:(" "5),(c...

    Text Solution

    |

  2. If A^(-1)=[{:(1,-2),(-2,2):}], what is det (A) ?

    Text Solution

    |

  3. From the matrix equation AB = AC, which one of the following can be co...

    Text Solution

    |

  4. What is the value of |{:(a,b,c),(b,c,a),(c,a,b):}| "if a"^(3) + b^(3) ...

    Text Solution

    |

  5. If A = [{:(1,2),(0,3):}] is a 2 xx 2 matrix and f(x) = x^(2) - x + 2 i...

    Text Solution

    |

  6. If A is a non-null row matrix with 5 columns and B is a non-null colum...

    Text Solution

    |

  7. Assertion (A) : If A = ({:(2,3),(1,4):}), B = ({:(1,0),(0,1):}), then ...

    Text Solution

    |

  8. Assertion (A) : If A=({:(cos alpha,sin alpha),(cos alpha,sin alpha):})...

    Text Solution

    |

  9. If A is any 2 xx matrix such that [{:(1,2),(0,3):}]A=[{:(-1,0),(6,3):}...

    Text Solution

    |

  10. If A is a 3 xx 3 matrix such that |A| = 4, then what is A(adj A) equal...

    Text Solution

    |

  11. [[x,x^2, 1+x^2],[y, y^2, 1+y^2],[z, z^2, 1+z^2]] where x,y,z are disti...

    Text Solution

    |

  12. Under which of the following condition(s), will the matrix A=[{:(0,0,q...

    Text Solution

    |

  13. Consider the following statements : 1. If det A = 0, then det (adj A...

    Text Solution

    |

  14. Let A be an m xx n matrix. Under which one of the following conditions...

    Text Solution

    |

  15. Let A and B be two matrices of order n xx n. Let A be non-singular and...

    Text Solution

    |

  16. Let A be a square matrix of order n xx n where n ge 2. Let B be a mat...

    Text Solution

    |

  17. What should be the value of k so that the system of linear equations ...

    Text Solution

    |

  18. The matrix A = [{:(1,2),(2,2):}] satisfies which one of the following ...

    Text Solution

    |

  19. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  20. For what value of p, is the system of equation p^3x+(p+1)^3y=(p+2)^3 a...

    Text Solution

    |