Home
Class 12
MATHS
If A=[5a-b3 2] and A adj A=AA^T , then ...

If `A=[5a-b3 2]` and A adj `A=AA^T` , then `5a+b` is equal to: (1) `-1` (2) 5 (3) 4 (4) 13

A

`-1`

B

`5`

C

`4`

D

`13`

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=[(5a, -b),(3,2)] and A adj A=A A^T, then 5a+b is equal to: (A) -1 (B) 5 (C) 4 (D) 13

If A=|{:(,5a,-b),(,3,2):}| and A adj A=A A^(T) , then 5a+b is equal to

If (5a - 3b) : (4a - 2b) = 2:3, then a:b is equal to: यदि (5a - 3b) : (4a - 2b) = 2:3 है, तो a : b का मान क्या होगा ?

If a : b = 2: 5 , then ( 3a+ 4b) : (5a +6b) is equal to

If A=[{:(2,5),(1,3):}] , find adj A .

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

(b) If A^(-1)=[[3,1],[(-5)/(3),(2)/(3)]], then A.adj A is equal to

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A=[[1, -1, 2], [-2, 3, 5], [-2, 0, -1]], then adjA=

    Text Solution

    |

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

    Text Solution

    |

  3. If A=[5a-b3 2] and A adj A=AA^T , then 5a+b is equal to: (1) -1 (2) ...

    Text Solution

    |

  4. If the adjoint of a 3 3 matrix P is 1 4 4 2 1 7 1 1 3 , then the po...

    Text Solution

    |

  5. A=[[1, 0, 2], [-1, 1, -2], [0, 2, 1]] and adjA=[[5, x, -2], [1, 1, 0],...

    Text Solution

    |

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

    Text Solution

    |

  7. If A is a unit matrix of order n, then A(adjA) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |