Home
Class 12
MATHS
If A=[[3,2],[4,5]] and A C=[[19,24],[37,...

If `A=[[3,2],[4,5]]` and `A C=[[19,24],[37,46]], then `C=`

A

`[[3,4],[5,2]]`

B

`[[3,4],[5,3]]`

C

`[[3,4],[5,6]]`

D

`[[3,4],[5,5]]`

Text Solution

Verified by Experts

The correct Answer is:
C
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=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

If A= [(4,6),(7,6)] find |3A|

If A= [(2,3),(4,6)], " then " A^(-1) =

If A = [(4,-1),(0,3)], B = [(1,2),(-1,3)] and C = [(1, -2),(3,5)] verify that A(BC) = (AB)C .

If A=[(1,2,-3),(5,0,2),(1,-1,1)] , B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] thern compute (A+B) and (B-C). Also verify A+(B-C)=(A+B)-C.

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)]andC=[(4,1,2),(0,3,2),(1,-2,3)] then compute (A + B) and (B - C). Also verify that A + (B - C) = (A + B) - C.

If A' = [(2,5),(2,1),(-3,2)], B = [(2,-1,-2),(4,0,5)] and [(4,5,2),(0,1,4)] find A + B and B -C , show that A + (B -C) = (A + B) - C .

If A={1,2,3,4},B={2,3,5} and C={3,5,6}.Find A uu(B nn C) .

If A={1,2,3},B={3,4} and C={4,5,6},Find A xx (BnnC)

Let A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C=[(-2,5),(3,4)] Find each of the following: (i) A+B (ii) A-B (iii) 3A-C (iv) AB (v) BA

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

    Text Solution

    |

  2. If A (adj .A ) = 5I , where I is idensity martrix of order 3 , then |...

    Text Solution

    |

  3. If A=[[3,2],[4,5]] and A C=[[19,24],[37,46]], then C=

    Text Solution

    |

  4. If A= (a(ij) ) is a scalar matrix of order nxx n such that a(ii)=k for...

    Text Solution

    |

  5. Let A be an invertible matrix, which of the following is not true?

    Text Solution

    |

  6. If the matrix A B is a zero matrix, then

    Text Solution

    |

  7. The value of x for which the matrix product [[2,0,7],[0,1,0],[1,-2,...

    Text Solution

    |

  8. A square matrix can always be expressed as

    Text Solution

    |

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

    Text Solution

    |

  10. If A = [(i,0),(0,i)] then A^(4n) (n in N ) equals :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |