Home
Class 12
MATHS
If S=[[a,b],[c,d]] then adj A=...

If `S=[[a,b],[c,d]]` then adj `A=`

A

`[[-d,-b],[-c,a]]`

B

`[[d,-b],[-c,a]]`

C

`[[d,b],[c,a]]`

D

`[[d,c],[b,a]]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos
  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A=[[a,b],[c,d]] , then adj(adj A)=

If A=[[4,-1],[-1,3]] , then A . adj A=

If A=[(5a,-b),(3,2)] and A adj A=A A^(T) , then 5a+b is equal to

If D=[[1,a,b],[1,b,c],[1,c,a]] , then [[a,b,c],[b,c,a],[1,1,1]] =

Let A=[(0,alpha),(0,0)] and (A+I)^(50)-50 A=[(a,b),(c,d)] Then the value of a+b+c+d is

If a,b,c,d are in H.P., then :

adj [[1,0,2],[-1,1,-2],[0,2,1]]= [[5,a,-2],[1,1,0],[-2,-2, b]] then (a, b)=

If A={a,b},B={c,d},C={d,e}, then : {(a,c),(a,d),(a,e),(b,c),(b,d),(b,e)} is :

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A = [(i,0),(0,i)] then A^(4n) (n in N ) equals :

    Text Solution

    |

  2. If A = ((a,b),(c,d)) , such that ad - bc != 0 then A^(-1) is :

    Text Solution

    |

  3. If S=[[a,b],[c,d]] then adj A=

    Text Solution

    |

  4. If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

    Text Solution

    |

  5. If A= [[cos x, sin x],[-sin x, cos x]] and A(adj A)=k[[1,0],[0,1]] the...

    Text Solution

    |

  6. If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...

    Text Solution

    |

  7. If A= [[1, x],[x^2,4 y]], B= [[-3,1],[1,0]] and adj A+B=[[1,0],[0,1]],...

    Text Solution

    |

  8. Let A= [[1,2],[-5,1]] and A^-1=x A+y I, then the values of x and y are

    Text Solution

    |

  9. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] then the value of alpha for...

    Text Solution

    |

  10. If A= [(alpha,2),(2,alpha)] and |A^(3)|= 125 " then " alpha =

    Text Solution

    |

  11. If A = [(1,0,0),(0,1,1),(0,-2,4)] and also A^(-1)=1/6 (A^(2)+cA+dI) ...

    Text Solution

    |

  12. Let A and B be 3xx 3 matrices of real numbers, where A is symmetric an...

    Text Solution

    |

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

    Text Solution

    |

  14. If A B=A and B A=B, then B^2=

    Text Solution

    |

  15. The number of 3xx3 non - singular matrices , with four entries as 1 ...

    Text Solution

    |

  16. If x, y, z being positive |[1, log x y,log x z],[log y x,1,log y z],[l...

    Text Solution

    |

  17. If Dr= |[2^r-1,2 . 3^(r-1), 4 . 5^(r-1)],[alpha ,beta, gamma],[2^(n-1)...

    Text Solution

    |

  18. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  19. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  20. The parameter on which the value of the determinant |[1, a, a^2],[...

    Text Solution

    |