Home
Class 9
MATHS
If A+B={:[(8,-9),(3,5)]:}andA-B={:[(6,5)...

If `A+B={:[(8,-9),(3,5)]:}andA-B={:[(6,5),(1,7)]:}`, the A= _______ .

A

`{:[(7,-2),(2,6)]:}`

B

`{:[(7,-2),(-2,6)]:}`

C

`{:[(-7,2),(2,6)]:}`

D

`{:[(-7,-2),(-2,-6)]:}`

Text Solution

Verified by Experts

The correct Answer is:
A
`A+B={:[(8,-9),(3,5)]:}` (1)
`A-B={:[(6,5),(1,7)]:}` (2)
Adding Eqs. (1) and (2) we get
`A+B+A-B={:[(8,-9),(3,5)]:}+{:[(6,5),(1,7)]:}`
`2A={:[(14,-4),(4,12)]:}`
`A={:[((14)/(2),(-4)/(2)),((4)/(2),(12)/(2))]:}={:[(7,-2),(2,6)]:}`.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|20 Videos

  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3 MCQ|15 Videos

  • NUMBER SYSTEMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos

Similar Questions

Explore conceptually related problems

If A+B={:[(01,-11),(9,7)]:}andA-B={:[(-8,9),(9,-5)]:} , then B=

If A+B={:[(7,6),(-3,2)]:}andA-B={:[(1,2),(3,6)]:} , then find A.

If A-2B={:[(3,6),(7,6)]:}andA-3B={:[(2,6),(7,5)]:} , then the matrix A is

If A-B^(T)={:[(-2,2,1),(3,6,5)]:}andA^(T)+B={:[(-4,5),(8,-2),(9,1)]:} , then matrix A = _______ .

If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C such that 3A+5B+2C is a null matrix.

If A = {1,2,3,4,5,6,7} and B = {7,8,9,10} , then A-B equals :

If A+B=[[2,4],[3,5]] and A-B=[[8,6],[7,1]] . Then find A and B.

Verify (AB)^(-1)=B^(-1)A^(-1) for the matrices A and B where A=[{:(3,7),(2,5):}] and B=[{:(6,8),(7,9):}]

PEARSON IIT JEE FOUNDATION-MATRICES-LEVEL 3
  1. If A={:[(p,-1),(q,1)]:},B={:[(1,-1),(1,2)]:}and(A+B)^(2)=A^(2)+2AB+B^(...

    Text Solution

    |

  2. If P={:[(2,-1),(-1,3)]:},Q={:[(1,-2),(-3,0)]:}andR={:[(-2,1),(2,-1)]:}...

    Text Solution

    |

  3. If {:((a,3),(4,5)):}{:((3,-2),(b,8)):}={:((30,20),(52,a)):}, then find...

    Text Solution

    |

  4. If P=[2" "2" "1],Q=[1" "2" "3],R={:[(1),(2),(3)]:},andS={:[(3),(2),(1...

    Text Solution

    |

  5. If y={:((4,-2),(3,0)):}andf(y)=y^(2)-y-6, find f(y).

    Text Solution

    |

  6. If the matrix A={:[(5,-3),(5,-3)]:}," then "A^(n+1) = .

    Text Solution

    |

  7. If A(x)={:[(e^(x),e^(x)),(e^(-x),e^(-x))]:} then A(x) A(y)=

    Text Solution

    |

  8. If A={:[(6,-7,1),(3,-2,1)]:}andB={:[(5,1,2),(-4,3,-5)]:} then find X s...

    Text Solution

    |

  9. If {:[(2,4),(p,1)]:}{:[(-1,2),(3,1)]:}={:[(10,q),(-2,r)]:}, then pq= ...

    Text Solution

    |

  10. If A={:[(-13,24),(-7,13)]:}, then A^(8) = .

    Text Solution

    |

  11. If A+B={:[(8,-9),(3,5)]:}andA-B={:[(6,5),(1,7)]:}, the A= .

    Text Solution

    |

  12. If A={:[(7,9),(3,8)]:}andB={:[(13),(18)]:} then find the matrix X such...

    Text Solution

    |

  13. If A={:[(a,b),(2,-1)]:},B={:[(1,1),(4,-1)]and(A+B)^(2)=A^(2)+B^(2), th...

    Text Solution

    |

  14. If A={:[(6,x),(7,-6)]:}andA^(2)=I, then x= .

    Text Solution

    |

  15. If A-B={:[(18,1,-9),(11,12,2)]:}andA+3B={:[(26,1,3),(-13,-16,10)]:}, t...

    Text Solution

    |

  16. If A={:[(1,4),(-2,5)]:}andB={:[(-6,-1),(-8,2)]:}, then AB + BA = .

    Text Solution

    |

  17. If A={:[(2,1),(0,3)]:}andf(x)=x^(2)-4x+3, then find f(A).

    Text Solution

    |

  18. If[5" "6]{:[(1,-3),(-1,x)]:}{:[(3),(4)]:}=[-15], then the value of x ...

    Text Solution

    |

  19. If A={:[(1,-4),(3,2)]:}andB={:[(6,-1),(3,2)]:}, then find the matrix C...

    Text Solution

    |

  20. If A-B^(T)={:[(-2,2,1),(3,6,5)]:}andA^(T)+B={:[(-4,5),(8,-2),(9,1)]:},...

    Text Solution

    |