Home
Class 12
MATHS
The characteristic roots of the matrix [...

The characteristic roots of the matrix `[{:(1,0,0),(2,3,0),(4,5,6):}]` are

A

4,5,6

B

2,4,6

C

1,3,6

D

1,2,4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2007

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

find the adjoint of the matrix A=[(1,2,3),(0,5,0),(2,4,3)]

The inverse of the matrix [(2,5,0),(0,1,1),(-1,0,3)] is

The matrix A = A = {:[(0,0,5),(0,5,0),(5,0,0)]:} is a :

find the adjoint of the matrix {:[( 1,-1,2),( 3,0,-2),( 1,0,3) ]:}

Find the inverse of the matrix (if it exists ) {:[( 1,0,0),( 3,3,0),( 5,2,-1) ]:}

The inverse of the matrix A = [[2,0,0],[0,3,0],[0,0,4]] is

The element in the first row and third column of the inverse of the matrix [(1,2,-3),(0,1,2),(0,0,1)] is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2008-MATHEMATICS
  1. If 3x^(2)+xy-y^(2)-3x+6y+K=0 represents a pair of lines , then K=

    Text Solution

    |

  2. The equation of the smallest circle passing through the points (2,2) a...

    Text Solution

    |

  3. The characteristic roots of the matrix [{:(1,0,0),(2,3,0),(4,5,6):}] ...

    Text Solution

    |

  4. If f(x) is an even funiction and f (x) exists , then f' (e ) + f' (- e...

    Text Solution

    |

  5. If alpha is a number satisfying the equation alpha^(2)+alpha+1=0 then...

    Text Solution

    |

  6. The derivative of sin(x^(3)) w,r,t . cos(x^(3)) is

    Text Solution

    |

  7. A unit vector perpendicular to both the vectors hati+hatjandhatj+hatk ...

    Text Solution

    |

  8. If A=|{:(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3)):}|andB=|{:(...

    Text Solution

    |

  9. If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=

    Text Solution

    |

  10. R is a relation on N given by R={(x,y)|4x+3y=20} . Which of the fol...

    Text Solution

    |

  11. If log(10)7=0.8451 then the position of the first significant figure o...

    Text Solution

    |

  12. (1)/(2*5)+(1)/(5*8)+(1)/(8*11)+… upto n terms =

    Text Solution

    |

  13. The ten 's digit in 1!+4!+7!+10!+12!+13!+15!+16!+17! is divisible by

    Text Solution

    |

  14. If A=[{:(1" " 2),(3 " " 4):}] then A^(-1)=

    Text Solution

    |

  15. The set {-1,0,1} is not a multiplicative group because of the failure ...

    Text Solution

    |

  16. The angle of elevation of the top of a TV tower from three points A,B ...

    Text Solution

    |

  17. The angles A,B and C of a triangle ABC are in A.P. If b:c=sqrt(3):sqrt...

    Text Solution

    |

  18. sin(2sin^(-1)sqrt((63)/(65)))=

    Text Solution

    |

  19. A variable line (x)/(a)+(y)/(b)=1 is such that a+b=4. The locus of the...

    Text Solution

    |

  20. The point (5,-7) lines outside the circle

    Text Solution

    |