Home
Class 12
MATHS
If A=[[0, 3], [2, 0]] and A^(-1)=lambda(...

If `A=[[0, 3], [2, 0]] and A^(-1)=lambda(adjA)`, then `lambda=`

A

`-(1)/(6)`

B

`-(1)/(3)`

C

`(1)/(3)`

D

`(1)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
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= [{:(0,3),(2,0):}] and A^(-1)=lambda (adj, A) then lambda is equal to

If A= [[2,3,5],[1,2,1],[0,1,7]] and A^(3)-lambda A^(2)+28A-10=0 , then the value of lambda is

Let A=|{:(,-2,7,sqrt3),(,0,0,-2),(,0,2,0):}| and A^(4)=lambda,I,"then"lambda "is"

lambda ^ (3) -6 lambda ^ (2) -15 lambda-8 = 0

if points (2lambda, 2lambda+2) , (3, 2lambda + 1) And (1,lambda + 1) are linear, then lambda find the value of

If P = [{:(3, 0), (0, lambda):}] is scalar matrix then lambda = ____.

If the matrix [[0,1,-2],[-1,0,3],[lambda,-3,0]] is singular,then lambda=

If A=[[1, -1, 2], [3, 0, -2], [1, 0, 3]] , then (adjA)A=

If lambda is a root of x^(2) + 3x + 1 = 0 then tan^(-1) lambda+ tan^(-1) (1/lambda) is equal to

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A and B are square matrices of the same order such that (A+B)(A-B)=...

    Text Solution

    |

  2. For a square matrix A and a non-singular matrix B, of the same order, ...

    Text Solution

    |

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

    Text Solution

    |

  4. If A=[(x,-2),(3,7)] and A^(-1)=[(7/34,1/17),((-3)/34,2/17)],then the v...

    Text Solution

    |

  5. If matrix A=[{:(3,2,4),(1,2,-1),(0,1,1):}]and A^(-1)=1/k adj A, then k...

    Text Solution

    |

  6. If A^(-1)=(1)/(3)[[1, 4, -2], [-2, -5, 4], [1, -2, 1]] and |A|=3, then...

    Text Solution

    |

  7. If A=[[cosalpha, -sinalpha, 0], [sinalpha, cosalpha, 0], [0, 0, 1]], t...

    Text Solution

    |

  8. The element of second row and third column in the inverse of [[1, 2, 1...

    Text Solution

    |

  9. The element of second row and third column in the inverse of [[1, 2, -...

    Text Solution

    |

  10. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

    Text Solution

    |

  11. If matrix A=[[1, 0, -1], [3, 4, 5], [0, 6, 7]] and its inverse is deno...

    Text Solution

    |

  12. If A=[[0, 1, 2], [1, 2, 3], [3, a, 1]] and A^(-1)=(-1)/(2)[[-1, 1, -1]...

    Text Solution

    |

  13. If the inverse of [[2, -1, 4], [4, -3, 1], [1, 2, 1]] is (1)/(37)[[-5,...

    Text Solution

    |

  14. If A=[[costheta, sintheta], [-sintheta, costheta]], then |A^(-1)|=

    Text Solution

    |

  15. If A=[[1, -1, 2], [0, 2, -3], [3, -2, 4]], then |A^(-1)|=

    Text Solution

    |

  16. If A=[[1, 2, 3], [1, 3, 4], [3, 4, 3]], then |A^(-1)|=

    Text Solution

    |

  17. If A is square matrix of order 3, |A| = 1000 and |kA^-1| = 27, then k ...

    Text Solution

    |

  18. If A=[[4, 5], [2, 5]], then |2A^(-1)|=

    Text Solution

    |

  19. If A=[(2x,0),(x,x)] and A^(-1)=[(1,0),(-1,2)] then x equals to

    Text Solution

    |

  20. If A^(-1)=(-1)/(2)[[1, -4], [-1, 2]], then A=

    Text Solution

    |