Home
Class 12
MATHS
If A=[{:(1,2,-1),(-1,1,2),(2,-1,1):}] th...

If `A=[{:(1,2,-1),(-1,1,2),(2,-1,1):}]` then det(ad(adjA))=….

A

`(14)^2`

B

`(14)^3`

C

`(14)^4`

D

`(10)^1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice work|34 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Work|90 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,2,-1),(-1,1,2),(2,-1,1)] , then det (adj (adjA)) is

If |{:(1,2,x),(1,1,1),(2,1,-1):}|=0 then find x.

If A=[{:(-1,2,0),(-1,1,1),(0,1,0):}] then show that A^(-1)=A^2

If A=[{:(1,3,3),(1,4,3),(1,3,4):}] , then verify that A adjA=|A|I. Also find A^(-1)

If A^(-1)=[{:(3,-1,1),(-15,6,-5),(5,-2,2):}] and B=[{:(1,2,-2),(-1,3,0),(0,-2,1):}] then find (AB)^(-1)

If A=(1)/(3)[{:(1,2,2),(2,1,-2),(-2,2,-1):}] then show that A A'=A'A=I.

Let A=[{:(1,-2,1),(-2,3,1),(1,1,5):}] Verify that [adjA]^(-1)=adj(A^(-1))

If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] Verify the result A^3-6A^2+9A-4I=O and hence find A^(-1)

KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  1. If A=[{:(a,0,0),(0,a,0),(0,0,a):}] then |adjA| = …….

    Text Solution

    |

  2. If A=[{:(1,2,-1),(-1,1,2),(2,-1,1):}] then det(ad(adjA))=….

    Text Solution

    |

  3. If A is a orthogonal matrix, then

    Text Solution

    |

  4. Delta=|{:(a1,b1,c1),(a2,b2,c2),(a3,b3,c3):}|and Delta'|{:(A1,B1,C1),(A...

    Text Solution

    |

  5. The elements of the determinant of order 3xx3 are {0,1}. Then the maxi...

    Text Solution

    |

  6. A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...

    Text Solution

    |

  7. |{:(x+1,x^2+2,x^2+x),(x^2+1,x+1,x^2+2),(x^2+2,x^2+x,x+1):}|=ax^6+bx^5+...

    Text Solution

    |

  8. Delta=|{:(p,2-i,i+1),(2+i,q,3+i),(1-i,3-i,r):}| is always …….

    Text Solution

    |

  9. The system of equations {:(x+2y+3z=4),(2x+3y+4z=5),(3x+4y+5z=6):} has ...

    Text Solution

    |

  10. The equations |{:(7,6,x),(2,x,2),(x,3,7):}|=0 has one root x = -9 then...

    Text Solution

    |

  11. If f(x)=|{:(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x^2-1))...

    Text Solution

    |

  12. -1lexlt0,0leylt1,1lezlt2 and [" " ] is greatest interger function then...

    Text Solution

    |

  13. If |{:(3,5,2),(1,4,7),(2,1,0):}|=k|{:(3,5,4),(1,4,14),(4,2,0):}| then ...

    Text Solution

    |

  14. |{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=..........

    Text Solution

    |

  15. The area of triangle with vertices (3,2),(8,12) and (11,8) is ……….

    Text Solution

    |

  16. The sum of the cofator of the elements in second column in |{:(7,9,1),...

    Text Solution

    |

  17. |{:(sinx,cosx),(sinx,sinx):}|=|{:(cosx,cosx),(cosx,sinx):}|,x in(0,pi/...

    Text Solution

    |

  18. The equations of line passing through (-7,8) and (5,8) is ………

    Text Solution

    |

  19. If |{:(x,4,10),(5,2,5),(7,3,x):}|=0 then x in …………

    Text Solution

    |

  20. D=|{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}| then,

    Text Solution

    |