Home
Class 12
MATHS
Let A be a 3 xx 3 matrix such that adj ...

Let A be a `3 xx 3` matrix such that adj `A = [{:(,2,-1,1),(,-1,0,2),(,1,-2,-1):}]` and
B =adj (adj A) .
If `|A| = lambda and |(B^(-1))^T| = mu` then the ordered pair `(|lambda|, mu)` is equal to

A

`(9,(1)/(9))`

B

`(3,(1)/(81))`

C

`(3,81)`

D

`(9,(1)/(81))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | is

If matrix A=[{:(3,2,4),(1,2,-1),(0,1,1):}]and A^(-1)=1/k adj A, then k is

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

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. Let p,q r be three statements such that the truth value of (p ^^ q)...

    Text Solution

    |

  2. The set of all real values of lambda for which the quadratic equ...

    Text Solution

    |

  3. Let A be a 3 xx 3 matrix such that adj A = [{:(,2,-1,1),(,-1,0,2),(,1...

    Text Solution

    |

  4. If the value of the integral int(0)^(1//2) (x^(2))/((1-x^(2))^(3//...

    Text Solution

    |

  5. Let e(1) and e(2) be the ecentricities of the ellispe (x^(2))/(25...

    Text Solution

    |

  6. If the surface area of a cube is increasing at rate of 3.6 cm^(2...

    Text Solution

    |

  7. If z(1),z(2) are complex number such that Re(z(1) ) = |z(1) - 1| , R...

    Text Solution

    |

  8. If a Delta ABC has vertices A ( - 1,7) , B (-7,1) and C(5,-5) then ...

    Text Solution

    |

  9. The plane which bisects the line joining the points (4, -2, 3) and...

    Text Solution

    |

  10. Let x(i) (1 le I le 10) be ten observation of a random variable X...

    Text Solution

    |

  11. If the terms independent of x in the expansion of (3/2 x^2 - (1)/(3x) ...

    Text Solution

    |

  12. If the sum of the series 20 + 19 (3)/(5) + 19 (1)/(5) + 18 (4)/(5) + ...

    Text Solution

    |

  13. If int sin^(-1) ( sqrt( (x)/(1 + x) ) )dx = A(x) tan^(-1) (sqrtx) + B...

    Text Solution

    |

  14. Let S be the set of all integer solutions, (x,y,z) of the system of eq...

    Text Solution

    |

  15. Let a place P contain two lines vecr = hati + lambda(hati + hatj), ...

    Text Solution

    |

  16. m A.M. and 3 G.M. are inserted between 3 and 243 such that 2^(nd) GM=4...

    Text Solution

    |

  17. If the tangent to the curve y= e^x at a point (c, e^c) and the normal ...

    Text Solution

    |

  18. The total number of 3-digit numbers, whose sum of digits is 10, is .

    Text Solution

    |

  19. If (a+sqrt2b cosx)(a-sqrt2b cosy)=a^2-b^2, where a gt b gt 0 , then ...

    Text Solution

    |

  20. The mean and variance of 8 observations are 10 and 13.5 respectively ....

    Text Solution

    |