Home
Class 12
MATHS
Let X= [[x1],[x2],[x3]], A= [[1,-1,2],[2...

Let `X= [[x_1],[x_2],[x_3]], A= [[1,-1,2],[2,0,1],[3,2,1]]` and `B= [[3],[1],[4]]` and if `A X=B`, then `X`.

A

1)`[[1],[2],[3]]`

B

2)`[[-1],[2],[3]]`

C

3)`[[-1],[-2],[-3]]`

D

4)`[[-1],[2],[5]]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A=[[-1,2],[-2,1]] , B=[[3,4],[2,-1]] and A+2 X=B , then X =

Let X= [[x],[y],[z]], D= [[3],[5],[11]] , A= [[1,-1,2],[2,1,1],[4,-1,-2]] . If X=A^-1 D , then X =

The value of x so that [[1,x,1]][[1,3,2] , [0,5,1] , [0,3,2]][[1], [1], [x]]=0 is

If A= [[1, x],[x^2,4 y]], B= [[-3,1],[1,0]] and adj A+B=[[1,0],[0,1]], then the value of x and y are respectively

If |[ x+1 ,2 ,3],[1 , x+2,3],[1, 2, x+3]|=0 , then x=0 and

If x ne 0 and |[1,x,2x],[1,3x,5x],[1,3,4]|=0 then x=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If P= [[i,0,-i],[0,-i,i],[-i,i,0]], Q= [[-i,i],[0,0],[i, -i]] then P Q...

    Text Solution

    |

  2. If A= [[2,-1],[-1,2]] and I is the unit matrix of order 2 , then A^2 i...

    Text Solution

    |

  3. Let X= [[x1],[x2],[x3]], A= [[1,-1,2],[2,0,1],[3,2,1]] and B= [[3],[1]...

    Text Solution

    |

  4. Let X= [[x],[y],[z]], D= [[3],[5],[11]], A= [[1,-1,2],[2,1,1],[4,-1,-2...

    Text Solution

    |

  5. If X=[[1,1],[1,1]], then X^n, for n in N is equal to

    Text Solution

    |

  6. Let A and B be two square matrices such that A B=A and B A=B, then A^2...

    Text Solution

    |

  7. If A= [[cos x,sin x,0],[-sin x,cos x,0],[0,0,1]]=f(x) then A^-1=

    Text Solution

    |

  8. A nonsingular matrix A satisfies A^2-A+2 I=0, then A^-1=

    Text Solution

    |

  9. If [[x, y^3],[2,0]]=[[1,8],[2,0]] then [[x,y],[2,0]]^-1=

    Text Solution

    |

  10. If the matrix [[cos theta,sin theta,0],[sin theta,cos theta,0],[0,0,1]...

    Text Solution

    |

  11. If A=[[1,3],[2,1]], then determinant of A^2-2 A is

    Text Solution

    |

  12. If A and B are two matrices such that B=-A^-1 B A then (A+B)^2=

    Text Solution

    |

  13. If A= [[0,2],[3,-4]], k A= [[0,3a],[2b,24]] then the value of k, a, b ...

    Text Solution

    |

  14. If A and B are square matrices of order 3, A is nonsingular and A . B=...

    Text Solution

    |

  15. adj [[1,0,2],[-1,1,-2],[0,2,1]]= [[5,a,-2],[1,1,0],[-2,-2, b]] then (...

    Text Solution

    |

  16. A= [[-1, 0],[0,2]] then A^3-A^2=

    Text Solution

    |

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

    Text Solution

    |

  18. If A= [[2,1,0],[0,2,1],[1, 0,2]] then |adj A|=

    Text Solution

    |

  19. If A and B are square matrices of the same order such that (A+B)(A-B)=...

    Text Solution

    |

  20. If A is a 3xx3 nonsingular matrix and if |A|=3, then |(2A)^(-1)|=

    Text Solution

    |