Home
Class 12
MATHS
The number of 2 xx 2 matrices A=[(a,b),(...

The number of `2 xx 2` matrices `A=[(a,b),(c,d)]` for which `[(a,b),(c,d)]^-1=[(1/a,1/b),(1/c,1/d)],(a,b,c,d in R)` is

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )|65 Videos

  • MATRICES

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

The number of 2xx2 matrices A=[[a,bc,d]][[a,bc,d]]^(-1)=[[(1)/(a),(1)/(b)(1)/(c),(1)/(d)]],(a,b,c,d in R) is

The number of matrices A = [(a,b),(c,d)] ( where a,b,c,d in R ) such that A^(-1) = -A is :

Consider the matrices : A=Consider the matrices : A=[(1,-2),(-1,3)] and B=[(a,b),(c,d)] If AB=[(2,9),(5,6)] , find the values of a,b,c and d.

Find the values of a,b,c and d, if 3[{:(a,b),(c,d):}]=[{:(a,6),(-1,2d):}]+[{:(4,a+b),(c+d,3):}] .

If A^(20) = [(a,b),(c,d)] where A =[(1,1),(0,2)] then a+b+c+d is equal to

If A =[{:(a, b), (c, d):}] " then " A^(-1) = ____.

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

Consider the relations R_(1) and R_(2) defined as aR_(1)b hArr a^(2)+b^(2)=1 for all a,b in R and (a,b)R_(2)(c,d) hArr ,a+d=b+c forall (a,b),(c,d) in N times N .Then

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. B -Architecture Entrance Examination Papers
  1. The number of 2 xx 2 matrices A=[(a,b),(c,d)] for which [(a,b),(c,d)]...

    Text Solution

    |

  2. If A and B are square matrics of the same order then which one of the ...

    Text Solution

    |

  3. Let A =[(1,1,0),(0,1,0),(0,0,1)] and let I denote the 3xx3 identity ma...

    Text Solution

    |

  4. Let A and B be 2xx2 matrices with real entries . Let I be the 2xx2 ind...

    Text Solution

    |

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

    Text Solution

    |

  6. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

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

    Text Solution

    |

  8. Let S be the set of all real matrices A = [(a,b),(c,d)] such that a+d ...

    Text Solution

    |

  9. If S(n) denotes the sum of first n natural numbers.the [S(1)+S(2)x+S(3...

    Text Solution

    |

  10. Let A = [(1,1),(0,1)] and B = [(b(1),b(2)),(b(3),b(4))] . If 10 A^(10...

    Text Solution

    |

  11. If for a matrix A, absA=6and adj A={:[(1,-2,4),(4,1,1),(-1,k,0)]:}, th...

    Text Solution

    |

  12. Let S be the set of all real values of a for which the following syste...

    Text Solution

    |

  13. If A = ((2,52,152),(4,1-6,358),(6,162,620)) then the determinant of ad...

    Text Solution

    |

  14. Let S be the set of all real values of lambda for which the system of ...

    Text Solution

    |

  15. Ifthe equations a(y +z) =x,b(z+x) = y, c (x + y) = z have nontrivial...

    Text Solution

    |

  16. If B = [(-2,-2),(-1,0)] and A is a matrix such that A^(-1) B = B^(-1) ...

    Text Solution

    |

  17. Let [(3a,b,c),(b,3c,a),(c,a,3b)] be a 3xx3 matrix where a,b,c in R . I...

    Text Solution

    |

  18. The value of a for which the system linear of equations x+ay+z=1 a...

    Text Solution

    |

  19. Suppose A is a 2xx2 matrix for which A^(2)+A+I(2)=O(2) then det (adj (...

    Text Solution

    |

  20. If the system of linear equations : x+4y-3z=2 2x+7y+4z=alpha -x-...

    Text Solution

    |

  21. Let (a,b) be the solution of the system [(x,y)][(1,3),(5,1)]=[(2,1)]...

    Text Solution

    |