Home
Class 12
MATHS
Let A be a matrix such that A* [(1 ,2) ,...

Let A be a matrix such that A* `[(1 ,2) ,(0 ,3)]` is a scalar matrix and |3A|=108 .Then `A^(2)` equals

A

`((36,-32),(0,4))`

B

`((4,0),(-32,0))`

C

`((4,-32),(0,36))`

D

`((36,0),(-32,4))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos
  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

Scalar matrix and identity matrix

Let A be a matrix of order 3 such that A^(2)=3A-2I where, I is an identify matrix of order 3. If A^(5)=alphaa+betaI , then alphabeta is equal to

Let A be a matrix such that adj (adj A)= [(5,2,1),(3,1,0),(2,2,1)] then the value of

Let A=[(-1,2,-3),(-2,0,3),(3,-3,1)] be a matrix, then |A|adj(A^(-1)) is equal to

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

Let A=[(-1, 2, -3),(-2,0,3),(3,-3, 1)] be a matrix, then |a| adj(A^(-1)) is equal to

If k is a scalar and l is a unit matrix of order 3 then adj(kl) is equal to

If A is any 2 xx matrix such that [{:(1,2),(0,3):}]A=[{:(-1,0),(6,3):}] then what is A equal to ?

Let A be any 3xx2 matrix. Then prove that det. (A A^(T))=0 .

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
  1. If x =a, y=b, z=c is a solution of the system of linear equations x...

    Text Solution

    |

  2. If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 ...

    Text Solution

    |

  3. Let A be a matrix such that A* [(1 ,2) ,(0 ,3)] is a scalar matrix and...

    Text Solution

    |

  4. If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b...

    Text Solution

    |

  5. The number of values of k for which the system of linear equations, (k...

    Text Solution

    |

  6. The system of linear equations x+y+z =2, 2x+3y+2z =...

    Text Solution

    |

  7. If A=[(costheta, -sin theta ),(sin theta, cos theta) ] , then the ma...

    Text Solution

    |

  8. A = [{:(e^(t), e^(-t)"cos"t, e^(-t)"sin"t),(e^(t),-e^(-t)"cos"t-e^(...

    Text Solution

    |

  9. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  10. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  11. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |

  12. Let A=|{:(,0,21,r),(,p,q,-r),(,p,-q,r):}|=A A^(T)=I(3) then |p| is

    Text Solution

    |

  13. If the system of linear equations 2x + 2y +3z =a 3x - y +5z =b x...

    Text Solution

    |

  14. Let A and B be two invertible matrices of order 3 xx 3. If "det"(ABA^(...

    Text Solution

    |

  15. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  16. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

    Text Solution

    |

  17. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  18. The greatest value of c in R for which the system of linear equations ...

    Text Solution

    |

  19. Let A = [{:("cos"alpha, -"sin"alpha), ("sin"alpha, "cos"alpha"):}], (a...

    Text Solution

    |

  20. If the system of linear equations x-2y + kz = 1, 2x + y+ z = 2, 3x-y...

    Text Solution

    |