Home
Class 12
MATHS
The inverse of the matrix A=[(2,0,0),(0,...

The inverse of the matrix `A=[(2,0,0),(0,3,0),(0,0,4)]` is

A

`1/24 [(2,0,0),(0,3,0),(0,0,4)]`

B

` [(2,0,0),(0,3,0),(0,0,4)]`

C

`1/24 [(1,0,0),(0,1,0),(0,0,1)]`

D

` [(1/2,0,0),(0,1/3,0),(0,0,1/4)]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos
  • COMMON ENTRANCE TEST - 2017

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The inverse of the matrix [(2,5,0),(0,1,1),(-1,0,3)] is

The element in the first row and third column of the inverse of the matrix [(1,2,-3),(0,1,2),(0,0,1)] is

If a, b, c are non-zero real numbers, then the inverse of the matrix A [[a,0,0],[0,b,0],[0,0,c]] is

The inverse of the matrix A= [[0,1,0],[1,0,0],[0,0,1]] is A

If x,y,z are nonzero real number , then the inverse of matrix A= {:[( x,0,0),( 0,y,0) ,( 0,0,z) ]:} is

Using elementary transformations, find the inverse of the matrices [(2,0,-1),(5,1,0),(0,1,3)]

Compute the inverse of the matix A = [{:(0,1,2),(1,2,3),(0,1,2):}]

Using elementary transformations, find the inverse of the matrices [(1,3,-2),(-3,0,-5),(2,5,0)]

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2014-QUESTION BANK
  1. If A is a matrix of order 3, such that A(adj A) = 101, then |adj A| =

    Text Solution

    |

  2. Consider the following statements : (a) If any two rows or columns o...

    Text Solution

    |

  3. The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

    Text Solution

    |

  4. If a, b and c are in A.P., then the value of |(x+2, x+3, x+a),(x+4, x+...

    Text Solution

    |

  5. The local minimum value of the function f' given by f(x) = 3 + |x|, x ...

    Text Solution

    |

  6. A stone is dropped into a quiet lake and waves move in circles at the ...

    Text Solution

    |

  7. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  8. The area of the region bounded by the lines y=mx, x =1, x=2, and x axi...

    Text Solution

    |

  9. Area of the region bounded by two parabolas y = x^(2) and x = y^(2) is

    Text Solution

    |

  10. The order and degree of the differential equation y = x(dy)/(dx) + (2)...

    Text Solution

    |

  11. The general solution of the differential equation (dy)/(dx)+y/x=3x is

    Text Solution

    |

  12. The distance of the point P(a, b, c) from the x-axis is

    Text Solution

    |

  13. Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...

    Text Solution

    |

  14. The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane

    Text Solution

    |

  15. The angle between two diagonals of a cube is

    Text Solution

    |

  16. The lines : (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k =(y-4)/2 =(z-5)/1 a...

    Text Solution

    |

  17. A and B are two events such that P(A)!=0, P(B//A) is

    Text Solution

    |

  18. Two dice are thrown simultaneously. The probability of obtaining a tot...

    Text Solution

    |

  19. If the events A and B are independent if P(A')=2/3 and P(B')=2/7, then...

    Text Solution

    |

  20. A box contains 100 bulbs, out of which 10 are defective. A sample of 5...

    Text Solution

    |