Home
Class 12
MATHS
If A=[(2, 3),( 5 ,7)] , B=[(-1 ,0, 2),(...

If `A=[(2, 3),( 5 ,7)]` , `B=[(-1 ,0, 2),( 3, 4, 1)]` , `C=[(-1, 2 ,3),( 2 ,1, 0)]` , find `A+B` and `B+C` (ii) `2B+3A` and `3C-4B` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

If A=[(2,3),(5,7)], B=[(0,4),(-1,7)]andC=[(1,0),(-1,4)] find AC+B^(2)-10C .

If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B and A-B

If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4)], then find (2A-3B+4C).

If A=[{:(,3,7),(,2,4):}], B=[{:(,0,2),(,5,3):}] and C=[{:(,1,-5),(,-4,6):}] Find AB-5C.

Given A=[{:(,1,2),(,-2,3):}], B=[{:(,-2,-1),(,1,2):}] and C=[{:(,0,3),(,2,-1):}] , find A+2B-3C.

If A=[{:(,5,4),(,3,-1):}], B=[{:(,2,1),(,0,4):}] and C=[{:(,-3,2),(,1,0):}] , find : (i) A+C (ii) B-A (iii) A+B-C

Let A=[{:(,2,1),(,0,-2):}], B=[{:(,4,1),(,-3,-2):}] and C=[{:(,-3,2),(,-1,4):}] . Find A^2+AC-5B .

Given A=[{:(,2,1),(,3,0):}], B=[(1,1),(5,2)] and C=[{:(,-3,-1),(,0,0):}] , find (i) 2A-3B+C (ii) A+2C-B

Let A=[{:(,5,4),(,3,-2):}], B=[{:(,-3,0),(,1,4):}] and C=[{:(,1,-3),(,0,2):}], find : (i) A+B and B+A (ii) (A+B)+C and A+(B+C) (iii) Is A+B=B+A? (iv) Is (A+B) +C=A+(B+C)?

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}] , verfity (i) A(B+C)=AB+AC.

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Compute the following sums: [[3,-2],[ 1, 4]]+[[-2, 4],[ 1 ,3]]

    Text Solution

    |

  2. Let A=[[2,4],[3,2]] , B=[[1 ,3],[-2 ,5]], C=[[-2,5],[3,4]] ,FIND: ...

    Text Solution

    |

  3. If A=[(2, 3),( 5 ,7)] , B=[(-1 ,0, 2),( 3, 4, 1)] , C=[(-1, 2 ,3),( ...

    Text Solution

    |

  4. If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4...

    Text Solution

    |

  5. If A=d i ag\ (2\ -5\ \ \ 9) , B=d i ag\ (1\ \ \ \ 1\ -4) and C=d i ag\...

    Text Solution

    |

  6. Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C...

    Text Solution

    |

  7. Find matrices X and Y , if X+Y=[(5, 2),( 0, 9)] and X-Y=[(3, 6),( 0...

    Text Solution

    |

  8. Find X if Y=[(3, 2),( 1, 4)] and 2X+Y=[(1, 0),(-3, 2)] .

    Text Solution

    |

  9. Find matrices X and Y , if 2X+Y=[6-6 0-4 2 1] and X+2Y=[3 2 5-2 1-7] .

    Text Solution

    |

  10. If X-Y=[1 1 1 1 1 0 1 0 0] and X+Y=[3 5 1-1 1 4 11 8 0] , find X and Y...

    Text Solution

    |

  11. Find matrix A , if [1 2-1 0 4 9]+A=[9-1 4-2 1 3] .

    Text Solution

    |

  12. If A=[9 1 7 8] , B=[1 5 7 12] , find matrix C such that 5A+3B+2C is a ...

    Text Solution

    |

  13. If A=[2-2 4 2-5 1] , B=[8 0 4-2 3 6] , find matrix X such that 2A+3X=5...

    Text Solution

    |

  14. If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}], fi...

    Text Solution

    |

  15. Find x ,\ y satisfying the matrix equations: [x-y 2 -2 4x6]+[3-2 2 1...

    Text Solution

    |

  16. Find x ,\ y satisfying the matrix equations: x[2 1]+y[3 5]+[-8-11]=...

    Text Solution

    |

  17. If 2[3 4 5x]+[1y0 1]=[7 0 10 5] , find x and y .

    Text Solution

    |

  18. Find the value of lambda , a non-zero scalar, if lambda[1 0 2 3 4 5...

    Text Solution

    |

  19. Find a matrix X such that 2A+B+X=O , where A=[-1 2 3 4] , B=[3-2 1 5]

    Text Solution

    |

  20. If A=[8 0 4-2 3 6] and B=[2-2 4 2-5 1] , then find the matrix X of ord...

    Text Solution

    |