Home
Class 11
MATHS
If A-2B=((1,-2),(3,0)) and 2A-3B=[(-3,...

If `A-2B=((1,-2),(3,0))` and
`2A-3B=[(-3,3),(1,-1)]` then B =

A

`((-5,7),(5,1))`

B

`((-5,7),(-5,-1))`

C

`((-5,7),(5,-1))`

D

`((-5,-7),(-5,-1))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DETERMINANTS|33 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise INVERSE OF A MATRIX|8 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

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

If A'=[(-2,3),(1,2)] and B=[(-1,0),(1,2)] then find (A+2B)'

If A'=[(3,4),(-1,2),(0,1)] and B=[(-1,2,1),(1,2,3)] , then verify that (i) (A+B)' =A'+B', (ii) (A-B)'=A'-B'

If A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)] then tr(A)-tr(B)=

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

If A = [(1,2,3),(3,2,1)] and B = [(3,2,1),(1,2,3)] , find 3B - 2A .

If A = [(-2,1,0),(3,4,-5)] and B = [(1,-2),(4,3),(-1,5)] then find A + B^T .

If A=[(2,3,0),(1,-1,5)] and B=[(1,-2,3),(-1,0,2)] , then (BA')'=

If A=[(2,-1,2),(1,3,-4)] and B=[(1,-2),(-3,0),(5,4)] then verify that (AB)^(T)=B^(T)A^(T)

If A = [(2,1),(1,3)] and B = [(3,2,0),(1,0,4)] , then find AB. Find BA if it exists.

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-ALGEBRA OF MATRICES
  1. If A-2B=((1,-2),(3,0)) and 2A-3B=[(-3,3),(1,-1)] then B =

    Text Solution

    |

  2. The value of lambda for which the matrix product [(2,0,7),(0,1,0),(...

    Text Solution

    |

  3. If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then A(a...

    Text Solution

    |

  4. If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] then A is

    Text Solution

    |

  5. If A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)] and A A^(T)=I(3) then x+y=

    Text Solution

    |

  6. If A=((cos^(2)alpha , cos alpha sin alpha),(cos alpha sin alpha, sin^(...

    Text Solution

    |

  7. If A=[(cos theta, sin theta),(- sin theta, cos theta)] then lim(nto oo...

    Text Solution

    |

  8. If A=[a(ij)](n xx n) and a(ij)=i(i+j) then trace of A =

    Text Solution

    |

  9. The number of 2xx2 matrices that can be formed by using 1, 2,3,4 then...

    Text Solution

    |

  10. If A=[a(ij)](n xx n) such that a(ij)=(i+j)^(2) then trace of A is

    Text Solution

    |

  11. If A=[(cos alpha, -sinalpha),(sin alpha, cos alpha)], then A+A^(T)=I, ...

    Text Solution

    |

  12. Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,...

    Text Solution

    |

  13. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to

    Text Solution

    |

  14. For the matrix A=[(3,2),(1,1)], the vlaues of a and b such that A^(2)...

    Text Solution

    |

  15. Matrix A has x rows aand x+4 columns and another matrix B has y rows a...

    Text Solution

    |

  16. If A=[(0, x),(y, 0)] and A^(3)+A=O then

    Text Solution

    |

  17. If omega is a complex cube root of unity and A=[(omega,0),(0, omega)]...

    Text Solution

    |

  18. If A, B are two square matrices such that AB=B, BA=A and n in N then...

    Text Solution

    |

  19. If A=[(1, 2, x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)...

    Text Solution

    |

  20. Let A and B be any two 3 xx 3 matrices. If A is symmetric and B is ske...

    Text Solution

    |