Home
Class 12
MATHS
If A = [[4,0,0],[0,8,0],[0,0,6]] then ...

If `A = [[4,0,0],[0,8,0],[0,0,6]]` then ` A^-1=`

A

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

B

` [[1/4,0,0],[0,1/8,0],[0,0,1/6]]`

C

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

D

`[[0,0,4],[0,8,0],[6,0,0]]`

Text Solution

Verified by Experts

The correct Answer is:
A
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= [[2,0,0],[0,2,0],[0,0,2]] then A^6=

If A=[[a,0,0],[0,a,0],[0,0,a]] then A^n='

If A = [[1,0,0],[0,1,0],[0,0,1]] , then A^2+2 A=

If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

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

If A= [[0,1,0],[1,0,0],[0,0,1]] , then A^(2n)= where n is a positive integer.

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

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A = [[1,0,1],[0,0,0],[1,0,1]] then A^2=

    Text Solution

    |

  2. If A= [[x,1],[1,0]] and A^2=I then x=

    Text Solution

    |

  3. If A = [[4,0,0],[0,8,0],[0,0,6]] then A^-1=

    Text Solution

    |

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

    Text Solution

    |

  5. The multiplicative inverse of the matrix A = [[0,0,1],[0,1,0],[1,0,0...

    Text Solution

    |

  6. If a, b, c are non-zero real numbers, then the inverse of the matrix ...

    Text Solution

    |

  7. If P= [[i,0,-i],[0,-i,i],[-i,i,0]], Q= [[-i,i],[0,0],[i, -i]] then P Q...

    Text Solution

    |

  8. If [[alpha,beta],[gamma,-alpha]] is to be square root of the two rowe...

    Text Solution

    |

  9. If A and B are square matrices of same order such that, (A+B)^2=A^2+B...

    Text Solution

    |

  10. The element in the first row and third column of the inverse of the ma...

    Text Solution

    |

  11. A^2-A+I=0, then the inverse of A is

    Text Solution

    |

  12. A is a 3 xx 3 matrix and B is its adjoint matrix. If |B|=81, then |A|=

    Text Solution

    |

  13. If A=[[a,0,0],[0,a,0],[0,0,a]] then |adj A|=

    Text Solution

    |

  14. For a 3xx 3 matrix A, if det A=3, then det (adj A)=

    Text Solution

    |

  15. If (1 x 2)[[1,2,3],[0,1,5],[0,2,3]] [[x],[-1],[2]]=0 then x=

    Text Solution

    |

  16. If A and B are two matrices such that A B=B and B A=A, then A^2+B^2=

    Text Solution

    |

  17. If A=[[3,-4],[1,-1]] then the value of A^n=

    Text Solution

    |

  18. If A is a square matrix of order n, then det (adj A)=

    Text Solution

    |

  19. For any 2xx 2 matrix A, if A . adj A = [[7,0],[0,7]] then |A| is equal...

    Text Solution

    |

  20. If A=[[1,-1,2],[2,1,-1],[-1,2,1]], then det [adj .(adj A)]=

    Text Solution

    |