Home
Class 12
MATHS
What is the total number of 2xx2 matr...

What is the total number of `2xx2` matrices with each entry 0 or 1?

Text Solution

Verified by Experts

In `2 times 2` matrix, the total number of elements are `4`.
Each element of row and column can be replaced with either `1` or `0`.
Thus, there are `2` ways of filling all elements with `1` or `0`.
Thus the total number of matrices will be `2 times 2 times 2 times 2` = `2^4=16` matrices.

`therefore` The number of possible matrix of `2 times 2` order with each entry as `0` or `1=16`.
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

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

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

Find the number of all possible matrices of order 3xx3 with each entry 0 or 1. How many of these are symmetric ?

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

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

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

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

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.

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

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If A=[(1, 2),( 0, 3)] is written as B+C , where B is a symmetric matri...

    Text Solution

    |

  2. If A is 2 times 3 matrix and B is a matrix such that A^T\ B and B A^T ...

    Text Solution

    |

  3. What is the total number of 2xx2 matrices with each entry 0 or 1...

    Text Solution

    |

  4. If [[x,x-y],[2x+y,7]]=[[3 ,1],[ 8, 7]] , then find the value of y

    Text Solution

    |

  5. If a matrix has 5 elements, write all possible orders it can have.

    Text Solution

    |

  6. For a 2xx2 matrix A=[a(i j)] whose elements are given by a(i j)=i/j...

    Text Solution

    |

  7. If x [[2 ],[3]]+y[[-1],[ 1]]=[[10],[ 5]] , find the value of x

    Text Solution

    |

  8. If [[9,-1, 4],[-2, 1, 3]]=A+[[1 ,2,-1],[ 0, 4, 9]] , then find matrix ...

    Text Solution

    |

  9. If [(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)] , find the value of b

    Text Solution

    |

  10. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

    Text Solution

    |

  11. If matrix A=[[2,-2],[-2, 2]] and A^2=p A , then write the value of p

    Text Solution

    |

  12. If A is a square matrix such that A^2=A , then write the value of 7A-(...

    Text Solution

    |

  13. If 2[[3, 4, 5x]]+[[1y,0, 1]]=[[7 0, 10, 5]] , find x-y .

    Text Solution

    |

  14. If [[x,1]][(1 ,0),(-2, 0)]=O , find x

    Text Solution

    |

  15. If [a+4 3b8-6]=[2a+2b+2 8a-8b] , write the value of a-2b .

    Text Solution

    |

  16. Write a 2xx2 matrix which is both symmetric and skew-symmetric.

    Text Solution

    |

  17. If [(x y,4),(z+6,x+y)]=[(8,w),(0, 6)] , write the value of (x+y+z) .

    Text Solution

    |

  18. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by ...

    Text Solution

    |

  19. If [x+y x-y]=[2 1 4 3][1-2] , then write the value of (x ,\ y) .

    Text Solution

    |

  20. Matrix A=[0 2b-2 3 1 3 3a3-1] is given to be symmetric, find the value...

    Text Solution

    |