Home
Class 11
MATHS
If [(a,b),(c,d)] is invertible then...

If `[(a,b),(c,d)]` is invertible then

A

`ad-bc=0`

B

`ad-bc!=0`

C

`ab-cd!=0`

D

`ab=cd=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - II|29 Videos
  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- PRACTICE EXERCISE|13 Videos
  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS-PRACTICE EXERCISE|39 Videos
  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If A is an invertible matrix and A is also invertible then prove (A^(T))^(-1) = (A^(-1))

If the inverse of the matrix [(1,2),(3,-5)] is 1/11[(a,b),(c,d)] then the ascending order of a,b,c,d is

Let A and B be invertible matrices then prove that (AB)^-1=B^-1A^-1 .

If a,b,c,d are four vectors then (A xx b) xx (C xx d) =

If a,b,c,d are conseentive binomial coefficients of (1+x)^n then (a+b)/(a), (b+c)/(b), (c+d)/(c ) are is

If A, B are two invertible matrices of same type then (AB)^(-1)=

If a,b,c,d are the vertices of a rhombus, then

If a,b,c,d,e are +ve real number such that a+b+ c+ d+e= 8 and a^(2) + b^(2) + c^(2) + d^(2) + e^(2) = 16 then the range of 'e' is

AAKASH SERIES-MATRICES -INVERSE OF A MATRIX- EXERCISE - I
  1. If [(a,b),(c,d)] is invertible then

    Text Solution

    |

  2. The inverse of the matrix [(2,1),(1,3)] is

    Text Solution

    |

  3. If A=[(cos x, sin x),(-sin x, cos x)] and AdjA=[(1,0),(0,1)] then the ...

    Text Solution

    |

  4. If [(x,y^(3)),(2,0)]=[(1, 8),(2,0)] then [(x,y),(2,0)]^(-1)=

    Text Solution

    |

  5. If A [(2,2),(-3,2)],B=[(0,-1),(1,0)] then (B^(-1)A^(-1))^-1=

    Text Solution

    |

  6. Adj[(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2),(1,1,0),(-2,-2,b)]implies[(a,...

    Text Solution

    |

  7. If A=((cosx,sinx,0),(-sinx,cosx,0),(0,0,1))=f(x) then A^(-1)=

    Text Solution

    |

  8. The matrix having the same matrix as its inverse is

    Text Solution

    |

  9. If A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)+b^(2)+c^(2)+d^(2) =1, then fi...

    Text Solution

    |

  10. The inverse of [(3,5,7),(2,-3,1),(1,1,2)] is

    Text Solution

    |

  11. If A is a non singular square matrix, then the false statement among t...

    Text Solution

    |

  12. If A is an invertible matrix of order n, then the determinant of adj A...

    Text Solution

    |

  13. If A is 3xx3 matrix and det A=-2 then |"Adj A"|=

    Text Solution

    |

  14. If a is a 3xx3 matrix and |"Adj A"|=16 then |A|=

    Text Solution

    |

  15. If |(1,-1,x),(1,x,1),(x,-1,1)| has no inverse, then the real value of ...

    Text Solution

    |

  16. If [(0,1,a),(1,a,0),(a,0,1)] is invertible then a!=

    Text Solution

    |

  17. If A is a nonzero square matrix of order n with det(I+A)!=0 and A^(3)=...

    Text Solution

    |

  18. If |A|!=0 and (A-2I) (A-3I) = 0 then A^(-1)=

    Text Solution

    |

  19. If det (A(3xx3))=6, then det (Adj 2A) =

    Text Solution

    |

  20. The inverse of a skew symmetric matrix of odd order is

    Text Solution

    |