Home
Class 12
MATHS
Let matrix A=[(x,y,2),(1,2,3),(1,1,2)] w...

Let matrix `A=[(x,y,2),(1,2,3),(1,1,2)]` where `x, y in N`. If `|adj(adj(adj(adjA)))|=3^(32).5^(16),` then number of such matrix A is equal to

A

46

B

47

C

48

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 40

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 42

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

Let matrix A=[(x,y,-z),(1,2,3),(1,1,2)] , where x, y, z in N . If |adj(adj (adj(adjA)))|=4^(8).5^(16) , then the number of such matrices A is equal to (where, |M| represents determinant of a matrix M)

Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are

Let matrix A=[(x,y,-z),(1,2,3),(1,1,2)] where x,y, z in N . If det. (adj. (adj. A)) =2^(8)*3^(4) then the number of such matrices A is : [Note : adj. A denotes adjoint of square matrix A.]

Let matrix A=[[x,y,-z1,2,31,1,2]] where x,y,z varepsilon N. If det.,(adj(adj.A))=2^(8)*(3^(4)) then the number of such matrices A is :

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

Let A=[(x,2,-3),(-1,3,-2),(2,-1,1)] be a matrix and |adj(adjA)|=(12)^(4) , then the sum of all the values of x is equal to

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

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

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

If matrix A=[(2,2),(2,3)] then the value of [adj. A] equals to :

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 41-MATHEMATICS
  1. The sun of the coefficient of all the terms in the expansion of (2x-y+...

    Text Solution

    |

  2. Let alpha(r)=e^((2pir)/n)(1lerlen) be the complex number associated wi...

    Text Solution

    |

  3. Let matrix A=[(x,y,2),(1,2,3),(1,1,2)] where x, y in N. If |adj(adj(ad...

    Text Solution

    |

  4. If M is the number of words that can be formed using letters of word E...

    Text Solution

    |

  5. If the roots of a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then a,b,c are ...

    Text Solution

    |

  6. The sum of the series 3/(1^(3))+5/(1^(3)+2^(3))+7/(1^(3)+2^(3)+3^(3))+...

    Text Solution

    |

  7. Let E=(1,2,3,4) and F=(1,2). Then the number of onto functions from E ...

    Text Solution

    |

  8. If real numbers x and y satisfy x^(2)+y^(2)-16x+30y+280=0 then maximum...

    Text Solution

    |

  9. What is the eccentricity of the conic expressed by x^(2)+2y^(2)-2x+3...

    Text Solution

    |

  10. The minimum value of the expression (t^(2)+1-alpha)^(2)+(2t-alpha-4)^(...

    Text Solution

    |

  11. For an isosceles triangle, the ends of the base are given by the point...

    Text Solution

    |

  12. If the line (x-2)/3=(y+1)/2=(z-1)/(-1) intersects the plane 2x+3y-z+13...

    Text Solution

    |

  13. If the volume of parallelepiped formed by the vectors hati+lamdahatj+h...

    Text Solution

    |

  14. If f(x) is a differentials function such that f'(1)=4 and f'(4)=1/2, t...

    Text Solution

    |

  15. The probability that the screws are defective in three boxes of screws...

    Text Solution

    |

  16. The general solution of differential equation (dy)/(dx)+(ylny)/x=(y(ln...

    Text Solution

    |

  17. inte^((logx+ax^(2)))cos(bx^(2)+c)dx is equal to

    Text Solution

    |

  18. The negation of the compound statement ~pvv(pvv(~q)) is

    Text Solution

    |

  19. The mean and variation of 7 observations are 8 and 16 respectivelh. If...

    Text Solution

    |

  20. Which one of the following is incorrect?

    Text Solution

    |