Home
Class 12
MATHS
If 2[[3, 4, 5x]]+[[1y,0, 1]]=[[7 0, 10, ...

If `2[[3, 4, 5x]]+[[1y,0, 1]]=[[7 0, 10, 5]]` , find `x-y` .

Text Solution

Verified by Experts

Given that,
`2[[3, 4, 5x]]+[[1y,0, 1]]=[[7 0, 10, 5]]`
`[[6, 8, 10x]]+[[y,0, 1]]=[[7 0, 10, 5]]`
`[[6+y, 8, 10x+1]]=[[70, 10, 5]]`

Equating both sides,
`6+y=70`
`y=64`

`10x+1=5`
...
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 2[[3,4],[5,x]]+[[1,y],[0,1]]=[[7,0],[10,6]] then find (x-y)

If 2[3 4 5x]+[1y0 1]=[7 0 10 5], find (x-y)dot

If 2[[3,4] , [5,x]] + [[1,y] , [0,1]] = [[7,0] , [10,5]] then find the value of (x-y)

If 2[(3,4),(5,x)]+[(1,y),(0,1)]=[(7,0),(10,5)] then

If 2[{:(3,4),(5,x):}]+[{:(1,y),(0,1):}]=[{:(7,0),(10,5):}] , find (x-y).

Find x and y, if 2[[1, 3],[ 0,x]]+[[y,0], [1, 2]]=[[5, 6],[ 1, 8]]

If 2 [{:(3, 4),(5,x):}] +[{:(1,y),(0,1):}] = [{:(7,0),(10,5):}] , then values of x and y are

If 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[-2, 2],[1,-5]] find X and Y.

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If matrix A=[[2,-2],[-2, 2]] and A^2=p A , then write the value of p

    Text Solution

    |

  2. If A is a square matrix such that A^2=A , then write the value of 7A-(...

    Text Solution

    |

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

    Text Solution

    |

  4. If [[x,1]][(1 ,0),(-2, 0)]=O , find x

    Text Solution

    |

  5. If [a+4 3b8-6]=[2a+2b+2 8a-8b] , write the value of a-2b .

    Text Solution

    |

  6. Write a 2xx2 matrix which is both symmetric and skew-symmetric.

    Text Solution

    |

  7. If [(x y,4),(z+6,x+y)]=[(8,w),(0, 6)] , write the value of (x+y+z) .

    Text Solution

    |

  8. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by ...

    Text Solution

    |

  9. If [x+y x-y]=[2 1 4 3][1-2] , then write the value of (x ,\ y) .

    Text Solution

    |

  10. Matrix A=[0 2b-2 3 1 3 3a3-1] is given to be symmetric, find the value...

    Text Solution

    |

  11. Write the number of all possible matrices of order 2xx2 with each e...

    Text Solution

    |

  12. If [2\ \ 1\ \ 3][-1 0-1-1 1 0 0 1 1][1 0-1]=A , then write the order o...

    Text Solution

    |

  13. If A=[3 5 7 9] is written as A=P+Q , where P is symmetric and Q is sk...

    Text Solution

    |

  14. If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a n...

    Text Solution

    |

  15. If A=[i0 0i],\ n in N , then A^(4n) equals [0i i0] (b) [0 0 0 0] (c) ...

    Text Solution

    |

  16. If A and B are two matrices such that A B=A and B A=B , then B^...

    Text Solution

    |

  17. If A B=A and B A=B , where A and B are square matrices, then B^2=B ...

    Text Solution

    |

  18. If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

    Text Solution

    |

  19. If [(cos\ (2pi)/7,-sin\ (2pi)/7),(sin\ (2pi)/7,cos\ (2pi)/7)]^k=[(1,0)...

    Text Solution

    |

  20. If the matrix A B is zero, then It is not necessary that either A=O...

    Text Solution

    |