Home
Class 11
MATHS
If {:A+B=[(1,0),(1,1)]andA-2B=[(-1,1),(0...

If `{:A+B=[(1,0),(1,1)]andA-2B=[(-1,1),(0,-1)]:}," then "A=`

A

`{:[(1,1),(2,1)]:}`

B

`{:[(2//3,1//3),(1//3,2//3)]:}`

C

`{:[(1//3,1//3),(2//3,1//3)]:}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA|Exercise Exercise|80 Videos

  • LOGARITHMS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|21 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

If A+B=[(1,0),(1,1)] and A-2B=[(-1,1),(0,-1)] then A= (A) 1/3 [(1,1),(2,1)] (B) 1/3 [(2,1),(1,2)] (C) [(1,1),(2,1)] (D) none of these

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

If A=[(0,1),(1,0)] and B=[(1,0),(0,-1)], prove that :

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

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

If A =[{:(1,2),(1,1):}]and B = [{:(0,-1),(1,2):}] , then what is B^(-1)A^(-1) equal to ?

If A =[{:(1,-1),(1,2):}]and B = [{:(1,0),(1,1):}] , then what is B^(-1)A^(-1) equal to ?

If A=[{:(1,2),(1,1):}] and B = [{:(0,-1),(1,2):}] , then what is the value of B^(-1) A^(-1)

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

OBJECTIVE RD SHARMA-MATRICES-Chapter Test
  1. If {:A=[(3,1),(-1,2)]:}," then "A^(-2)=

    Text Solution

    |

  2. if |[4,x+2],[2x-3,x+1]| is a symmetric then x=

    Text Solution

    |

  3. If {:A+B=[(1,0),(1,1)]andA-2B=[(-1,1),(0,-1)]:}," then "A=

    Text Solution

    |

  4. {:[(-6,5),(-7,6)]^(-1)=:}

    Text Solution

    |

  5. From the matrix equation AB = AC we can conclude B = C provided that

    Text Solution

    |

  6. If I3 is the identily matrix of order 3, then (I3)^(-1)=

    Text Solution

    |

  7. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  8. If A and B are two matrices such that A+B and AB are both defind, then

    Text Solution

    |

  9. A and B are tow square matrices of same order and A' denotes the tran...

    Text Solution

    |

  10. Consider the system of equations a1x+b1y+c1z=0 a2x+b2y+c2z=0 a3...

    Text Solution

    |

  11. The system of linear equations x+y+z=2 2x+y-z=3 3x+2y+kz=4 has a...

    Text Solution

    |

  12. If A and B are square matrices of order 3 such that absA=-1,absB=3," t...

    Text Solution

    |

  13. If the points (x1,y1),(x2,y2)and(x3,y3) are collinear, then the rank o...

    Text Solution

    |

  14. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

    Text Solution

    |

  15. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

    Text Solution

    |

  16. If {:A=[(1,2,2),(2,3,0),(0,1,2)]and adjA=[(6,-2,-6),(-4,2,x),(y,-1,-1)...

    Text Solution

    |

  17. If A is a square matrix such that {:A(adjA)=[(4,0,0),(0,4,0),(0,0,4)]:...

    Text Solution

    |

  18. If n is a natural number. Then {:[(2,-1),(3,-2)]^n:}, is

    Text Solution

    |

  19. If x^2+y^2+z^2 ne0, x=cy+bz,y=az+cxandz=bx+ay" then "a^2+b^2+c^2+2abc=

    Text Solution

    |

  20. If A is a singular matrix, then A (adj A) is a

    Text Solution

    |