Home
Class 12
MATHS
Find X and Y,if 2[{:(1,3),(0,x):}]+[...

Find X and Y,if
`2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8):}]`

Text Solution

Verified by Experts

The correct Answer is:
N/a
`2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8):}]`
`implies [{:(2,6),(0,2x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8):}]`
`implies [{:(2+y,6),(1,2x+2):}]=[{:(5,6)(1,8):}]`
on comparing ,
`{:(,2+Y=5 ,and , 2x+2=8),(implies ,y=3, and ,x=3):}`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3.3|12 Videos

  • MATRICES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3.4|18 Videos

  • MATRICES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3.1|10 Videos

  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|9 Videos

  • PROBABIILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find x and y, if : (i) [{:(,4,3x),(,x,-2):}] [{:(,5),(,1):}]=[{:(,y,8):}] (ii) [{:(,x,0),(,-3,1):}] [{:(,1,1),(,0,y):}]=[{:(,2,2),(,-3,-2):}]

Find the values of x and y , if 2[(1, 3),( 0,x)]+[(y,0),( 1, 2)]=[(5, 6),( 1 ,8)] .

If 2[{:(,3,x),(,0,1):}]+3[{:(,1,3),(,y,2):}]=[{:(,z,-7),(,15,8):}] , find the values of x, y and z.

Find x and y from the following equations: (i) [{:(,5,2),(,-1,y-1):}]-[{:(,1,x-1),(,2,-3):}] =[{:(,4,7),(,-3,2):}] (ii) [-8,x]+[y-2]=[-3,2]

Find the values of x and y from each of the following matrix equation : (i) [{:(x+y),(x-y):}]=[(3)/(1)](ii) [{:(x+y,7),(0,2x):}]=[{:(-1,7),(0,6):}]

Find the values of x,y,a and b, if : [{:(,x-2,y),(,a//2,b+1):}]=[{:(,0,3),(,1,5):}]

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

Find the values of x and y satisfying the equation: 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

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

NAGEEN PRAKASHAN ENGLISH-MATRICES-Exercise 3.2
  1. compute the indicated products . (i) [{:(a,b),(-b,a):}][{:(a,-b),(b,...

    Text Solution

    |

  2. if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]a...

    Text Solution

    |

  3. If A=[[2/3, 1, 5/3],[ 1/3, 2/3, 4/3] ,[7/3, 2, 2/3]]and B=[[2/3, 3/5, ...

    Text Solution

    |

  4. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

    Text Solution

    |

  5. Find X and Y, if(i) X+Y=[7 0 2 5]and X-Y=[3 0 0 3](ii) 2X+3Y=[2 3 4 0]...

    Text Solution

    |

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

    Text Solution

    |

  7. Find X and Y,if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8...

    Text Solution

    |

  8. Solve the equation for x, y, z and t, if 2[x, z , y, t]+3[1, -1 , 0 ,...

    Text Solution

    |

  9. ifx[{:(2),(3):}]+y[{:(-1),(1):}]=[{:(10),(5):}],find the values of x ...

    Text Solution

    |

  10. Given 3[x y z w]-[x6-1 2w]+[4x+y z+w3] , find the values of x, y, z an...

    Text Solution

    |

  11. If f(x) = [(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)] then show f(x) . ...

    Text Solution

    |

  12. Show that(i) [5-1 6 7][2 1 3 4]!=[2 1 3 4][5-1 6 7](ii) [1 2 3 0 1 0 1...

    Text Solution

    |

  13. If f(x)=x^2-5x+6. Find f(A),if A=[(2,0,1),(2,1,3),(1,-1,0)].

    Text Solution

    |

  14. if A =[{:(1,0,2),(0,2,1),(2,0,3):}] , prove that A^3-6A^2+7A+2I=0

    Text Solution

    |

  15. If A A=[3-2 4-2]and I=[1 0 0 1], find k so that A^2=k A-2I.

    Text Solution

    |

  16. Let A=[0-tan(alpha//2)tan(alpha//2)0] and I be the identity matrix ...

    Text Solution

    |

  17. A trust fund has Rs. 30000 that must be invested in two different t...

    Text Solution

    |

  18. The bookshop of a particular school has 10 dozen chemistry books, 8...

    Text Solution

    |

  19. the restriction on n, k and p so that PY +Wywill be defined are :

    Text Solution

    |

  20. Assume X,Z are the matrices of order 2 xx n,2 xx p respectively. If n...

    Text Solution

    |