Home
Class 12
MATHS
If for AX=B, B=[[9], [52], [0]] and A^(-...

If for `AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [-4, (3)/(4), (5)/(4)], [2, -(1)/(4), -(3)/(4)]]`, then X=

A

`[{:(3),(3//4),(-3//4):}]`

B

`[{:(-1//2),(1//2),(2):}]`

C

`[{:(-4),(2),(3):}]`

D

`[{:(1),(3),(-21):}]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If A=[[5,0,42,3,21,2,1]] and B^(-1)=[[1,2,31,4,31,3,4]]

If A=[(1,-1,0),(2,3,4),(0,1,2)] and B=[(2,2,-4),(-4,2,-4),(2,-1,5)] , then :

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

If A=[[3,1],[4,0]],B=[[4,0],[2,5]] ,verify that (AB)^(-1)=B^(-1)A^(-1)

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

If A=[(1,-1,0),(2,3,4),(0,1,2)] and B =[(2,2,-4),(-4,2,-4),(2,-1,5)] , then :

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

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

DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | ...

    Text Solution

    |

  2. If A = [{:(0,-1,2),(2,-2,0):}], B = [{:(0,1),(1,0),(1,1):}] and M = AB...

    Text Solution

    |

  3. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

    Text Solution

    |

  4. If matrix [(1,2,-1),(3,4,5),(2,6,7)] and its inverse is denoted by A^(...

    Text Solution

    |

  5. If A = [{:(1,0),(1,1):}] , then value of A^(-a) is

    Text Solution

    |

  6. If A is a non-singular matrix of order 3, then |adj A| = |A|^(n) here ...

    Text Solution

    |

  7. If A = [{:(2,4,5),(4,8,10),(-6,-12,-15):}]. Then rank of A is equal to...

    Text Solution

    |

  8. If the area of triangle with vertices (2,-6), (5,4) and (k,4) is 35. T...

    Text Solution

    |

  9. Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4,...

    Text Solution

    |

  10. The rank of the matrix [{:(-1,2,5),(2,-4,a-4),(1,-2,a+1):}] is

    Text Solution

    |

  11. If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}|, ...

    Text Solution

    |

  12. Consider the system of linear equations a(1)x+b(1)y+ c(1)z+d(1)=0, ...

    Text Solution

    |

  13. " If " Delta(1) =|{:(x,,b,,b),(a,,x,,b),(a,,a,,x):}|" and " Delta(2)...

    Text Solution

    |

  14. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  15. If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0...

    Text Solution

    |

  16. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

    Text Solution

    |

  17. If the system of equations, a^(2) x - ay = 1 - a and bx + (3-2b) y = 3...

    Text Solution

    |

  18. Consider the system of equations : x + ay = 0, y + az = 0 and z + ax=0...

    Text Solution

    |

  19. The system of linear equations x + y + z = 2 2x + y -z = 3 3x + ...

    Text Solution

    |

  20. if the system of equation ax+y+z=0, x+by=z=0,and x+y+cz=0 (a,b,c!=1) h...

    Text Solution

    |