Home
Class 12
MATHS
If A is a 3xx3 matrix and abs(A)=2, then...

If A is a `3xx3` matrix and `abs(A)=2`, then `abs(3 adj(abs(3A)A^2)` is equal to

A

`3^(11).6^(10)`

B

`3^(12).6^(10)`

C

`3^(12).6^(11)`

D

`3^(10).6^(11)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

If A is a 3times3 matrix and |A|=2, then |Adj(Adj(Adj(Adj(A)|=

If (a-b)=4 and ab = 2, then (a^(3)-b^(3)) is equal to :

If A is a 3 xx 3 matrix such that |A| = 4, then what is A(adj A) equal to ?

If A is a matrix of order 3xx3 and |A|=10 , then |adj.A| is

If A is a square matrix of order 3 such that abs(A)=2, then abs((adjA^(-1))^(-1)) is

If A is a 2xx3 matrix and AB is a 2xx5 matrix. Then B must be a

If abs(a)=1, abs(b)=2" and "abs(a-2b)=4" then "abs(a+3b) is equal to

IF A_(3 times 3) and det A=3 then det (2 adj A) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. A line segment AB of length lamda moves such that the points A and B r...

    Text Solution

    |

  2. Let f be a differentiable function such that x^2 f(x) -x=4 int0^x tf(t...

    Text Solution

    |

  3. If A is a 3xx3 matrix and abs(A)=2, then abs(3 adj(abs(3A)A^2) is equa...

    Text Solution

    |

  4. The shortest distance between the lines (x+2)/1=y/-2=(z-5)/2 and (x-4)...

    Text Solution

    |

  5. Let two vertices of a triangle ABC be (2, 4, 6) and (0,-2, -5), and it...

    Text Solution

    |

  6. Let the first term alpha and the common ratio r of a geometric progres...

    Text Solution

    |

  7. Let the complex number z =x +iy be such that (2z-3i)/(2z+i) is purely ...

    Text Solution

    |

  8. Let O be the origin and the position vector of the point P be -hati-2h...

    Text Solution

    |

  9. The negation of the statement (pvvq) wedge (qvv(~r)) is

    Text Solution

    |

  10. An are PQ of a circle subtends a right angle at its centre O. The mid ...

    Text Solution

    |

  11. If I(x)=int e^(sin^2 x) (cosx sin2x-sinx)dx and I(0)=1, then I(pi/3) i...

    Text Solution

    |

  12. If the coefficient of x^7 in (ax-1/(bx^2))^13 and the coefficient of x...

    Text Solution

    |

  13. Let the ellipse E: x^2 + 9y^2 = 9 intersect the positive x- and y-axes...

    Text Solution

    |

  14. The slope of tangent at any point (x, y) on a curve y= y(x) is ,(x^2+y...

    Text Solution

    |

  15. A square piece of tin of side 30 cm is to be made into a box without t...

    Text Solution

    |

  16. If f(x)=((tan 1^@)x+loge(123))/(xloge(1234-(tan 1^@))) , x gt0, then t...

    Text Solution

    |

  17. Let N denote the sum of the numbers obtained when two dice are rolled....

    Text Solution

    |

  18. For the system of linear equations 2x -y+3z=5 3x+2y-z=7 4x +5y+alphaz=...

    Text Solution

    |

  19. The number of permutations, of the digits 1, 2, 3, ..., 7 without repe...

    Text Solution

    |

  20. The number of elements in the set {n in Z:abs(n^2-10n+19) lt 6)} is

    Text Solution

    |