Home
Class 12
MATHS
Solve the matrix equation [x^2y^2]-3[...

Solve the matrix equation `[x^2y^2]-3[x2y]=[-2 9]` .

Text Solution

Verified by Experts

We have, $$ \begin{aligned} {\left[\begin{array}{c} x^{2} \\ y^{2} \end{array}\right]-3\left[\begin{array}{c} x \\ ...
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

Using matrix method, solve the system of equation 3x+2y-2z=3, x+2y+3z=6 and 2x-y+z=2

Solve the system of equations x+2y+3z=1,2x+3y+2z=2 and 3x+3y+4z=1 with the help of matrix inversion.

Solve the simultaneous equations x+ y = 7 , 2x - 3y = 9 by Cramer's method

Solve by matrix method : 2x+y=5 x-y = 1

If X and Y are 2xx2 matrices,then solve the following matrix equations for X and Y2X+3Y=[[2,34,0]],3X+2Y=[[-2,21,-5]]

Find inverse of matrix,solve the equation x-y+z=4,2x+y-3z=0x+y+z=2

Using matrix method, solve the system of linear equations x-2y=10,2x-y-z=8and-2y+z=7

Solve the Simultaneous equations 3x - 3y = 9, 2x + y = 13

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Find a matrix X such that 2A+B+X=O , where A=[[-1, 2],[ 3, 4]] and B=[...

    Text Solution

    |

  2. Find a matrix A such that 2A-3B+5C=O , where B=[[-2, 2, 0],[ 3, 1 ,4]]...

    Text Solution

    |

  3. Solve the matrix equation [x^2y^2]-3[x2y]=[-2 9] .

    Text Solution

    |

  4. Two farmers Ramkishan and Gurcharan Singh cultivates only three var...

    Text Solution

    |

  5. Compute the following sums: [[3,-2],[ 1, 4]]+[[-2, 4],[ 1 ,3]]

    Text Solution

    |

  6. Let A=[2 4 3 2] , B=[1 3-2 5] and C=[-2 5 3 4] . Find each of the foll...

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

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

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

  14. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

  19. Find x ,\ y satisfying the matrix equations: [x-y2-2 4x6]+[3-2 2 1 ...

    Text Solution

    |

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

    Text Solution

    |