Home
Class 12
MATHS
Let A be the set of all 3xx3 symmetric m...

Let A be the set of all `3xx3` symmetric matrices all of whose either 0 or 1. Five of these entries are 1 and four of them are 0.
The number of matrices in A is

A

12

B

6

C

9

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-II:|28 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-IV|1 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

Let A be the set of all 3xx3 symmetric matrices all of whose either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices A in A for which the system of linear equations A[(x),(y),(z)]=[(1),(0),(0)] is inconsistent is

Let A be the set of all 3 xx 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices in A is

Let A be the set of all 3xx3 symetric matrices whose entries are either 0 or 1. The number of elements is set A, is

Let A be the set of all 3xx3 matrices of whose entries are either 0 or 1. The number of elements is set A, is

Let A be the set of all 3xx3 skew-symmetri matrices whose entries are either -1,0,or1. If there are exactly three 0s three 1s, and there (-1)' s , then the number of such matrices is __________.

Let A be the set of all 3xx3 skew-symmetri matrices whose entries are either -1,0,or1. If there are exactly three 0s three 1s, and there (-1)' s , then the number of such matrices is __________.

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

The number of all possible matrices of order 3 xx3 with each entry 0 or 1 is:

If the entries in a 3xx3 determinant are either 0 or 1, then the greatest value of their determinants is

Let A be the set of all 2 xx 2 matrices whose determinant values is 1 and B be the set of all 2 xx 2 matrices whose determinant value is -1 and each entry of matrix is either 0 or 1, then

RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-3
  1. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  2. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  3. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  4. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  5. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  6. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  7. The number of all possible values of theta, where 0 lt theta lt pi, fo...

    Text Solution

    |

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

    Text Solution

    |

  9. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

    Text Solution

    |

  10. Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...

    Text Solution

    |

  11. Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...

    Text Solution

    |

  12. Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...

    Text Solution

    |

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

    Text Solution

    |

  14. 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

    |

  15. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

    Text Solution

    |

  16. If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...

    Text Solution

    |

  17. If the adjoint of a 3xx3 matrix P is [[1,4,4],[2,1,7],[1,1,3]], then t...

    Text Solution

    |

  18. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

    Text Solution

    |

  19. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

    Text Solution

    |

  20. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

    Text Solution

    |