Home
Class 12
MATHS
If A=[[1, 2], [3, 4]], then A(adjA)=kI, ...

If `A=[[1, 2], [3, 4]]`, then A(adjA)=kI, then k=

A

`2`

B

`-2`

C

`10`

D

`-10`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If A=[[4, 2], [3, 4]] , then |adjA|=

If A=[[3, 4], [5, 7]] , then A(adjA)=

If A=[[2, -3], [3, 5]] , then adjA=

If A=[[2, -3], [4, 1]] , then adjA=

If A=[[1,2],[2,1]] and A(adjA)=k , then the value of k is

If A=[[2,-2],[4,3]] then adjA

If A=[[3,-3,42,-3,40,-1,1]], then adj(adjA)=A these , these

If A={:[(1,2),(3,4)]:}," then: " adj(adjA)=

A = {:[(1,2),(3,4)]:} and A (adj A) = kI , then the value of 'k' is

If A=[[-1, -2, -2], [2, 1, -2], [2, -2, 1]] and kA'=adjA, then k=

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A is a unit matrix of order n, then A(adjA) is

    Text Solution

    |

  2. If A=[[3, 4], [5, 7]], then A(adjA)=

    Text Solution

    |

  3. If A=[[1, 2], [3, 4]], then A(adjA)=kI, then k=

    Text Solution

    |

  4. If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]] and A(adjA)=[[k, 0]...

    Text Solution

    |

  5. For a invertible matrix A, if A(adjA)=[[10, 0], [0, 10]], then |A|=

    Text Solution

    |

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

    Text Solution

    |

  7. If A=[[1, -2, 2], [0, 2, -3], [3, -2, 4]], then A(adjA)=

    Text Solution

    |

  8. If A is a square matrix of order 2times2 and |A|=5, then |A(adjA)|=

    Text Solution

    |

  9. If A is a square matrix of order n, where |A|=5 and |A(adjA)|= 125, th...

    Text Solution

    |

  10. If A is a non-singular matrix of order 3, then adj(adj(A)) is equal to

    Text Solution

    |

  11. If A=[[2, -1, 1], [1, 2, 1], [-1, 1, 3]], then |adj(adjA)|=

    Text Solution

    |

  12. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  13. If A=[[1, 2, 3], [1, 4, 9], [1, 8, 27]], then the value of |adjA| is

    Text Solution

    |

  14. If P=[[1, alpha, 3], [1, 3, 3], [2, 4, 4]] is the adjoint of 3times3 m...

    Text Solution

    |

  15. If A is a matrix of order 3 and |A|=8, then |adjA|=

    Text Solution

    |

  16. For a 3xx3 matrix A if |A|=4, then|Adj.A| is (A) Both A and R are true...

    Text Solution

    |

  17. If A is a square matrix of order 3 and |adjA|=25, then |A|=

    Text Solution

    |

  18. If A is a square matrix of order 3 such that A^(-1) exists, then |adjA...

    Text Solution

    |

  19. If A=[[a, 0, 0], [0, a, 0], [0, 0, a]], then |adjA|=

    Text Solution

    |

  20. If A=[[a, 0, 0], [0, a, 0], [0, 0, a]], then |A||adjA|=

    Text Solution

    |