Home
Class 12
MATHS
Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, w...

Let `A=[(a,b),(c,d)]`be a `2 xx 2` matrix, where `a, b, c, d` take value 0 to 1 only. The number of such matrices which have inverses is

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 ( Straight Objective Type Questions ) )|11 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 (Numercial Answer Type Questions))|18 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

Let A=[[a,bc,d]] be a 2xx2 matrix,where a,b,c,d take value 0 to 1 only.The number of such matrices which have inverses is

Let A be a 2 xx 2 matrix of the form A = [[a,b],[1,1]] , where a, b are integers and -50 le b le 50 . The number of such matrices A such that A^(-1) , the inverse of A, exists and A^(-1) contains only integer entries is

Let A=[(a, b),(c, a)]AA a, b, c, in {0, 1, 2} . If A is a singular matrix, then the number of possible matrices A are

Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible for every real number alpha , then

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

The inverse of a matrix A=[[a, b], [c, d]] is

MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. Let A be a 3xx3 matrix with entries from the set of numbers, If the sy...

    Text Solution

    |

  2. A=[{:(a,b),(b,-a):}] and MA=A^(2m), m in N for some matrix M, then whi...

    Text Solution

    |

  3. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

    Text Solution

    |

  4. Find the inverse of each of the matrices given below : Let D= "dia...

    Text Solution

    |

  5. The inverse of a symmetric matrix ( if it exists ) is

    Text Solution

    |

  6. Prove that inverse of a skew-symmetric matrix (if it exists) is skew-s...

    Text Solution

    |

  7. The inverse of a skew symmetric matrix of odd order is a symmetric mat...

    Text Solution

    |

  8. If A is an orthogonal matrix, then

    Text Solution

    |

  9. If A = [(1,0,2),(5,1,x),(1,1,1)] is a singular matrix then x is equal ...

    Text Solution

    |

  10. Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(...

    Text Solution

    |

  11. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

    Text Solution

    |

  12. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |

  13. If A, B, and C are three square matrices of the same order, then AB=AC...

    Text Solution

    |

  14. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a m...

    Text Solution

    |

  15. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

    Text Solution

    |

  16. [{:(,0,1,2),(,1,2,3),(,3,a,1):}],=A^(-1)=[{:(,1//2,-1//2,1//2),(,-4,3,...

    Text Solution

    |

  17. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

    Text Solution

    |

  18. If A =[(1,2),(3,4)] then A^(2)-5A equals

    Text Solution

    |

  19. Solve system of linear equations, using matrix method, x y" "+" "2...

    Text Solution

    |

  20. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

    Text Solution

    |