Home
Class 12
MATHS
If A=|{:(,2,-3),(,-4,1):}| then adj (3A^...

If `A=|{:(,2,-3),(,-4,1):}|` then adj `(3A^(2)+12A)` is equal to

A

`[(72,-84),(-63,51)]`

B

`[(51,63),(84,72)]`

C

`[(51,84),(63,72)]`

D

`[(72,-63),(-84,51)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

  • MATRICES

    MOTION|Exercise Exercise - 3(Matrix Match - type Questions)|1 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(,1,2),(,2,1):}] then adj A=

If A=[(2,-3),(-4,1)] then (3A^2+12A) is equal to (a) [(72,-84),(-63,51)] (b) [(51,63),(84,72)] (c) [(52,84),(63,72)] (d) [(72,-63),(-84,51)]

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

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

If [{:( 1,2,3),(1,3,5),(1,5,12):}] then adj (adj A) is

If A={:[(4,2),(5,3)]:}" then :"|adj(adjA)|=

If A=[{:(3,2),(1,4):}] then A. adj A is equal to :

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

If A=[(1,2,3),(1,4,9),(1,8,27)] , then | adj A| is equal to

MOTION-MATRICES -Exercise - 4 (Level-I)
  1. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

    Text Solution

    |

  2. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] , then which one of the fo...

    Text Solution

    |

  3. If A and B are square matrices of order n xx n such that A^2-B^2=(A-B)...

    Text Solution

    |

  4. Let {:A=[(1,2),(3,4)]and BA=[(a,0),(0,b)]:},a,b in N Then,

    Text Solution

    |

  5. Let A=[5 5alphaalpha0alpha5alpha0 0 5]dot"I f"|A^2|=25 , then |alpha| ...

    Text Solution

    |

  6. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...

    Text Solution

    |

  7. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  8. The number of 3 3 non-singular matrices, with four entries as 1 and ...

    Text Solution

    |

  9. Let A be a 2xx2 matrix with non-zero entries and let A^2=""I , whe...

    Text Solution

    |

  10. If omega !=1 is the complex cube root of unity and matrix H=[(omega,...

    Text Solution

    |

  11. Let A and B be two symmetric matrices of order 3. Statement-1 : A(BA) ...

    Text Solution

    |

  12. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  13. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  14. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

    Text Solution

    |

  15. If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix ...

    Text Solution

    |

  16. If A is a 3 xx 3 non-singular matrix such that A A^(T) = A^(T)A " and ...

    Text Solution

    |

  17. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

    Text Solution

    |

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

    Text Solution

    |

  19. If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to

    Text Solution

    |