Home
Class 12
MATHS
If A=[[1, 0, 1], [0, 2, 3], [1, 2, 1]], ...

If `A=[[1, 0, 1], [0, 2, 3], [1, 2, 1]], b=[[1, 2, 3], [1, 1, 5], [2, 4, 7]] and XA=B`, then X=

A

`(1)/(3)[[4, 4, 2], [11, 8, -5], [10, 10, 2]]`

B

`(1)/(2)[[4, 4, 2], [11, 8, -5], [10, 10, 2]]`

C

`(1)/(6)[[4, 4, 2], [11, 8, -5], [10, 10, 2]]`

D

`(1)/(3)[[2, 2, 1], [11, 8, -5], [10, 10, 5]]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos
  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

A=[[3, 2, 6], [1, 1, 2], [2, 2, 5]], B=[[1, 2, -2], [-1, 3, 0], [0, -2, 1]] , then

If A = [[-1, 2 ,3],[-1, 0, 2],[1, -3, 1]] and B = [[4,5,6],[-1, 0, 1], [2,1,2]], find 4A-3B

If A=[[-1 ,2, 3],[ 5 ,7, 9],[-2 ,1, 1]] and B=[[-4, 1,-5],[ 1, 2,0 ],[1, 3, 1]] , then (A+B)^(prime)=A^(prime)-B^(prime) is true or false

If A=[[3,2,-1],[2,-2,0],[1,3,1]],B=[[-3,-1,0],[2,1,3],[4,-1,2]] and X=A+B then find X

If A+B=[[1,2,1],[1,1,-1],[-3,2,4]] and A-B=[[-2,3,7],[-4,1,0],[2,4,1]] then 2A+4B equals

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

If A = [(1,0,1),(0,2,3),(1,2,1)]and B = [(1,2,3),(1,1,5),(2,4,7)] , then find the matrix X such that XA = B

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

If A= [[1,-2,4],[1,2,3] ,[0,1,3]] , B= [[2,-1,5] ,[1,-2,2],[0,2,-4]] and C= [[1,2,3] ,[1,1,2] ,[2 ,0 ,1]] then A+B-C=

If A=[[1,2,3] , [-1,0,2] , [-2,-3,1]], B=[[4,5,1] , [-1,0,3] , [2,1,2]], C=[[-1,-2,1] , [-1,2,3] , [-1,-2,2]] then A-2B+3C=

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

    Text Solution

    |

  2. If A=[[1, 2, 3], [-1, 1, 2], [1, 2, 4]], B=[[1], [2], [3]] and AX=B, t...

    Text Solution

    |

  3. If A=[[1, 0, 1], [0, 2, 3], [1, 2, 1]], b=[[1, 2, 3], [1, 1, 5], [2, 4...

    Text Solution

    |

  4. If A=[[-2, 0, 0], [-2, -1, 3]], B=[[0, 1], [2, 3], [1, -1]], then

    Text Solution

    |

  5. If A=[[1, 2, 3], [1, -2, -3]], B=[[1, -1], [1, 2], [1, -1]], then

    Text Solution

    |

  6. If A=[[2, 2], [-3, 2]] and B=[[0, -1], [1, 0]], then (B^(-1)A^(-1))^(-...

    Text Solution

    |

  7. If A=[[2, 2], [-3, 2]] and B=[[0, -1], [1, 0]], then (B^(-1)A^(-1))^(-...

    Text Solution

    |

  8. If A=[[4, 1], [2, 3]] and B=[[2, 1], [0, -2]], then (AB)^(-1)=

    Text Solution

    |

  9. If A=[[2, 3], [1, 2]], B=[[3, 1], [0, 3]] then B^(-1)A^(-1)=

    Text Solution

    |

  10. If A=[[2, 3], [7, 11]], B=[[1, 0], [3, 1]] then (AB)^(-1)=

    Text Solution

    |

  11. If F(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] ...

    Text Solution

    |

  12. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  13. Equations x + y = 2, 2x + 2y = 3 will have

    Text Solution

    |

  14. If [(x-y-z),(-y+z),(z)]=[(0),(5),(3)] then the values of x,y and z are...

    Text Solution

    |

  15. If [[1, 1, 1], [1, -2, -2], [1, 3, 1]][[x], [y], [z]]=[[0], [3], [4]],...

    Text Solution

    |

  16. If A=[[1, -1, -2], [2, 1, 1], [4, -1, 2]], B=[[3], [5], [11]], X=[[x],...

    Text Solution

    |

  17. If [[x], [y], [z]]=(1)/(40)[[5, 10, -5], [-5, -2, 13], [10, -4, 6]][[5...

    Text Solution

    |

  18. The values of x, y, z for the equations x+y+z=1, 2x+3y+2z=2, ax+ay+2az...

    Text Solution

    |

  19. The values of x, y, z for the equations 5x-y+4z=5, 2x+3y+5z=2, 5x-2y+6...

    Text Solution

    |

  20. The values of x, y, z for the equations x-y+z=1, 2x-y=1, 3x+3y-4z=2 ar...

    Text Solution

    |