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

The number of 3 3 non-singular matrices, with four entries as 1 and all other entries as 0, is (1) 5 (2) 6 (3) at least 7 (4) less than 4

A

5

B

6

C

atleast 7

D

less then 4

Text Solution

Verified by Experts

The correct Answer is:
C
First row with exactly one zero
`therefore ` Total number of cases = 6
First row 2 zeroes, we get more cases.
`therefore ` Total we get more then 7.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|14 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

" The number of "3times3" symmetric matrices with "5" entries are "1" and "4" entries are o is "

The number of 2 x 2 matrices A such that all entries are either 1 or 0 is

Total number of possible matrices of 3 xx 3 with each entry - 1 or 2 is

The number of all possible matrices of order 3xx 3 with each entry 0 or 1 is

The number of 2xx2 idempotent matrices with integer entries are (A) 1 (B) 2 (C) 3 (D) oo

Find the number of all possible matrices of order 3xx3 with each entry 0 and 1.

Total number of possible matrices of order 3xx3 with each entry 2 or 0 is

The number of 2xx2 matrices A with real entries, such that A+A^(T)=3I and A A^(T)=5I , is equal to

ARIHANT MATHS-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

    Text Solution

    |

  2. Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-...

    Text Solution

    |

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

    Text Solution

    |

  4. Let A be a 2 xx 2 matrix with non-zero entries and let A^2=I, where i ...

    Text Solution

    |

  5. Let Ma n dN be two 3xx3 non singular skew-symmetric matrices such that...

    Text Solution

    |

  6. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

  7. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

  8. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

  9. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  10. Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1...

    Text Solution

    |

  11. Let A and B are symmetric matrices of order 3. Statement -1 A (BA) a...

    Text Solution

    |

  12. Let P = [a(ij)] " be a " 3 xx 3 matrix and let Q = [b(ij)], " where " ...

    Text Solution

    |

  13. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

    Text Solution

    |

  14. If the adjoint of a 3 3 matrix P is 1 4 4 2 1 7 1 1 3 , then the po...

    Text Solution

    |

  15. If A =((1,0,0),(2,1,0),(3,2,1)) u(1) and u(2) are the column matrices ...

    Text Solution

    |

  16. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

    Text Solution

    |

  17. If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix ...

    Text Solution

    |

  18. For 3xx3 matrices Ma n dN , which of the following statement (s) is (a...

    Text Solution

    |

  19. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

    Text Solution

    |

  20. If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A...

    Text Solution

    |