Home
Class 12
MATHS
The number of all possible matrices o...

The number of all possible matrices of order `3xx3` with each entry 0 or 1 is (a) 27 (b) 18 (c) 81 (d) 512

Text Solution

Verified by Experts

As we know the number of possible matrices of order `3×3` matrix is `9`.

As every entry has two choices, `0` or `1`

Therefore, total number of matrices are
...
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA|Exercise Solved Examples And Exercises|331 Videos

Similar Questions

Explore conceptually related problems

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

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 possible matrices of order 3xx3 with each entry 2 or 0 is (a) 9 (b) 27 (c) 81 (d) none of these

What is the number of all possible matrices of order 2xx3 with each entry 0,1 or 2.

Write the number of all possible matrices of order 2xx2 with each entry 1,2 or 3.

Write the number of all possible matrices of order 2xx2 with each entry 1,2, or 3.

The number of all possible matrices of order 2xx3 with each entry 1 or -1 is (i)32(ii)12 (iii) 6 (iv) 64

The number of all the possible matrices of order 2xx2 with each entry 0,1 or 2 si (A) 12 (B) 64 (C) 81 (D) none of these

The total number of possible matrices of order 3xx3 with each 3 or 7 is :

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a s...

    Text Solution

    |

  2. Out of the following matrices, choose that matrix which is a scalar...

    Text Solution

    |

  3. The number of all possible matrices of order 3xx3 with each entry 0...

    Text Solution

    |

  4. Which of the given values of x and y make the following pairs ...

    Text Solution

    |

  5. If A=[(0, 2),( 3,-4)] and k A=[(0, 3a),(2b, 24)] , then the values o...

    Text Solution

    |

  6. If I=[(1 ,0),( 0, 1)] , J=[(0, 1),(-1 ,0)] and B=[(costheta,sintheta...

    Text Solution

    |

  7. The trace of the matrix A=[(1,-5, 7),( 0, 7, 9),( 11 ,8, 9)] is (...

    Text Solution

    |

  8. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

    Text Solution

    |

  9. The matrix A=[0 0 4 0 4 0 4 0 0] is a (a) square matrix (b) diagonal m...

    Text Solution

    |

  10. The number of possible matrices of order 3xx3 with each entry 2 or ...

    Text Solution

    |

  11. If [2x+y4x5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , y=...

    Text Solution

    |

  12. If A is a square matrix such that A^2=I , then (A-I)^3+(A+I)^3-7A i...

    Text Solution

    |

  13. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

    Text Solution

    |

  14. If A is a matrix of order mxxn and B is a matrix such that A B^T and B...

    Text Solution

    |

  15. If A and B are matrices of the same order, then A B^T-B A^T is a (a)...

    Text Solution

    |

  16. If matrix A=([a(i j)])(2xx2) , where a(i j)={1,\ if\ i!=j0,\ if\ i=j ,...

    Text Solution

    |

  17. If A=1/pi[[sin^(-1)(pix),tan^(-1)(x/pi)], [sin^(-1)(x/pi),cot^(-1)(pix...

    Text Solution

    |

  18. If A and B are square matrices of the same order, then (A+B)(A-B) i...

    Text Solution

    |

  19. If A=[(2,-1,3),( -4,5 ,1)] and B=[(2 ,3 ),( 4,-2),( 1 ,5)] , then ...

    Text Solution

    |

  20. The matrix A=[(0,-5, 8),( 5, 0, 12),(-8,-12, 0)] is a (a) diagonal m...

    Text Solution

    |