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

Verified by Experts

$$ A=\left[\begin{array}{ll} 2 & 3 \\ 5 & 7 \end{array}\right], B=\left[\begin{array}{ccc} -1 & 0 & 2 \\ 3 & 4 & 1 \end{array}\right] \text { and } C=\left[\begin{array}{ccc} ...
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA|Exercise Solved Examples And Exercises|331 Videos

Similar Questions

Explore conceptually related problems

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

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

If A = [{:(3, 2),(1, 4):}], B = [{:(-5, 9), (3, 4):}]," and C" = [{:(-3, 6),(2, 1):}], then find 2A + 3B - 4C.

If A=[(1,2,3),(-1,0,2),(1,-8,-1)],B=[(4,5,6),(-1,0,1),(2,1,2)],C=[(-1,-2,1),(-1,2,3),(-1,-2,2)] , find (i) 2B-3C (ii) A-2B+3C .

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 = [{:(2, -3), (4, 1):}], B = [{:(2, 3), (5, 0):}]" and " C = [{:(-1, 2),(0, 5):}] then find A(B + C).

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

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  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] and C=[-2 5 3 4] . Find each of the foll...

    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-y2-2 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

    |