Home
Class 12
MATHS
The number of 3xx3 non - singular matr...

The number of `3xx3 ` non - singular matrices , with four entries as 1 and all other entries as 0 , is :

A

6

B

at least 7

C

less than 4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A is a 3xx3 non -singular matrix , then det . [ adj .A] is equal to :

The number of 3xx3 matrices A whose entries are either 0 or 1 and for which the system : A [(x),(y),(z)] = [(1),(0),(0)] has exactly two distinct solutions , is :

If A and P are 3xx3 matrices with integral entries such that P ' AP = A , then det . P is :

If A is 3xx 3 non- singular matrix and if |A |=3 then |(2A)^(-1) |=

The number of 2 xx 2 matrices having elements 0 and 1 is

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [1a bomega1comega^2omega1],w h e r e each of a ,b ,a n dc is either omegaoromega^2dot Then the number of distinct matrices in the set S is a. 2 b. 6 c. 4 d. 8

Total number of possible symmetric matrices of order 3xx 3 , whose entries 0 or 2 .

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A = [(1,0),(1,1)] and I = [(1,0),(0,1)] , then which one of the f...

    Text Solution

    |

  2. If A B=A and B A=B, then B^2=

    Text Solution

    |

  3. The number of 3xx3 non - singular matrices , with four entries as 1 ...

    Text Solution

    |

  4. If x, y, z being positive |[1, log x y,log x z],[log y x,1,log y z],[l...

    Text Solution

    |

  5. If Dr= |[2^r-1,2 . 3^(r-1), 4 . 5^(r-1)],[alpha ,beta, gamma],[2^(n-1)...

    Text Solution

    |

  6. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  7. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  8. The parameter on which the value of the determinant |[1, a, a^2],[...

    Text Solution

    |

  9. Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of [[1,1,1],[1,-...

    Text Solution

    |

  10. l,m,n are the pth , qth rth terms of a G.P. (all positive) , then |(lo...

    Text Solution

    |

  11. If a gt 0 and discriminant of ax^2+2bx+c is negative, then : Delta=|(...

    Text Solution

    |

  12. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

    Text Solution

    |

  13. The determinant : |(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalp...

    Text Solution

    |

  14. If a(1), a(2), a(3)"….." are in G.P. , then the value of Delta= |{:(lo...

    Text Solution

    |

  15. If D= |[1,1,1],[1,1+x, 1],[1,1,1+y]| for x ne 0, y ne 0 then D is

    Text Solution

    |

  16. If alpha=omega,b=omega^2,c=i, then the value of : |(a,a+2b,a+2b+3c)...

    Text Solution

    |

  17. The value of Delta=|(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)| is :

    Text Solution

    |

  18. If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5...

    Text Solution

    |

  19. If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=

    Text Solution

    |

  20. If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^...

    Text Solution

    |