Home
Class 12
MATHS
Find x ,\ y satisfying the matrix equa...

Find `x ,\ y` satisfying the matrix equations: `[x-y 2 -2 4x6]+[3-2 2 1 0-1]=[6 0 0 5 2x+y5]` (ii) `[x y+2z-3]+[y4 5]=[4 9 12]`

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

Find x ,\ y satisfying the matrix equations: x[2 1]+y[3 5]+[-8-11]=0

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

Find the values of x , y , za n da which satisfy the matrix equation [(x+3, 2y+x), (z-1, 4a-6)]=[(0,-7), (3, 2a)]

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

Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

The equation x = t^(2) + 1 and y = 2t + 1 , where t is any real number, are the parametric equation of the parabola (i) y^(2) - 4x - 2y + 5 = 0 (ii) y^(2) + 4x - 2y + 5 = 0 (iii) y^(2) - 4x + 2y + 3 = 0 (iv) y^(2) - 4x - 2y - 5 = 0

Examine the consistency of the system of equations 5x -y + 4z = 5," " 2x + 3y + 5z = 2," " 5x -2y + 6z = 1

Given the four lines with the equations x+2y-3=0 , 3x+4y-7=0 , 2x+3y-4=0 , 4x+5y-6=0 , then

Find the equations of the medians of a triangle, the equations of whose sides are: 3x+2y+6=0,\ 2x-5y+4=0\ a n d\ x-3y-6=0

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

  9. Find x ,\ y ,\ z\ a n d\ t , if 3[x y z t]=[x6-1 2t]+[4x+y z+t3]

    Text Solution

    |

  10. Find x ,\ y ,\ z\ a n d\ t , if 2[x5 7y-3]+[3 4 1 2]=[7 14 15 14]

    Text Solution

    |

  11. If X and Y are 2xx2 matrices, then solve the following matrix equat...

    Text Solution

    |

  12. In a certain city there are 30 colleges. Each college has 15 peons,...

    Text Solution

    |

  13. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

    Text Solution

    |

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

    Text Solution

    |

  15. If A,B,C are matrices such that A=[x y z], B=[[a,h,g] , [h, b, f] , [g...

    Text Solution

    |

  16. If A=[1-1 2 3],B=[2 1 1 0],p rov et h a t(A+B)^2!=A^2+2A B+B^2

    Text Solution

    |

  17. If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and ...

    Text Solution

    |

  18. If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

    Text Solution

    |

  19. If A=[alpha0 1 1]a n dB=[1 0 5 1], find the values of alpha for which ...

    Text Solution

    |

  20. Let A-[2-1 3 4], B-[5 2 7 4], C-[2 5 3 8] . Find a matrix D such that ...

    Text Solution

    |