Home
Class 12
MATHS
Solve the following system of linear equ...

Solve the following system of linear equations by using the principle of matrix.
`x+y+z=8`
`2x+5y+7z=52`
`2x+y-z=0`

Text Solution

Verified by Experts

The correct Answer is:
x=-2; y=7; z=3
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MOTION|Exercise Exercise - 3(Comprehension - based Questions)|3 Videos

  • MATRICES

    MOTION|Exercise Exercise - 3(Matrix Match - type Questions)|1 Videos

  • MATRICES

    MOTION|Exercise Exercise - 2(Level-II) (Multiple correct Option - type Questions)|7 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of linear equations by using the principle of matrix. 2x-y+3z=8 -x+2y+z=4 3x+y-4z=0

Solve the following system of linear equations by Cramers rule: x+y=5,\ \ y+z=3,\ \ x+z=4

Solve the following system of linear equations by matrix method: x+y+z=3,2x-y+z=2,x-2y=3z=2

Solve the following system of linear equations by Cramers rule: 6x+y-3z=5,\ \ x+3y-2z=5,\ \ 2x+y+4z=8

Solve the following system of linear equations by matrix method: 2x+3y+3z=1,2x+2y+3z=2,x-2y+2z=3

Solve the following system of linear equations by Cramers rule: 2x-3y-4z=29 ,\ -2x+5y-z=-15 ,\ \ 3x-y+5z=-11

Solve the following simultaneous linear equations by using matrix inversion method x+y+z=1 2x+2y+3z=6 x+4y+9z=3

Solve the following system of linear equations by Cramer's method : x+y+2z=1;3x+2y+z=7;2x+y+3z=2

Solve the following system of equations by using matrix inversion method. x + y = 1, y + z = (5)/(3) and z + x = (4)/(3)

Solve the following system of linear equations by Cramers rule: x-4y-z=11 ,\ \ \ 2x-5y+2z=39 ,\ \ -3x+2y+z=1

MOTION-MATRICES -Exercise - 3(Subjective - type Questions)
  1. For the matrix A=[{:(,3,2),(,1,1):}] Find a & b so that A^(2)+aA+bI=0....

    Text Solution

    |

  2. If A-^1=[3-1 1-15 6-5 5-2 2] and B=[1 2-2-1 3 0 0-2 1] , find (A B)^(-...

    Text Solution

    |

  3. If {1/2(A-A'+1)}^-1=2/lambda[(lambda-13,-lambda/3,lambda/3),(-17,10,-...

    Text Solution

    |

  4. Given A=[[2,0,-alpha],[5,alpha,0],[0,alpha,3]] For a in R-{a, b}, A^(-...

    Text Solution

    |

  5. Compute A^(-1) for the following matrix A=[(-1,2,5),(2,-3,1),(-1,1,1)...

    Text Solution

    |

  6. For the matrix A=[(4,-4,5),(-2,3,-3),(3,-3,4)] find A^(-2) .

    Text Solution

    |

  7. Gaurav purchases 3 pens, 2 bags and 1 instrument box and pays Rs. 41. ...

    Text Solution

    |

  8. Solve the following system of linear equations by using the principle ...

    Text Solution

    |

  9. Solve the following system of linear equations by using the principle ...

    Text Solution

    |

  10. By using the principle of matrix, show that the following system of eq...

    Text Solution

    |

  11. Find the number of 2xx2 matrix satisfying (i) aij is 1 or -1 (ii) ...

    Text Solution

    |

  12. If A = [[0, 1],[3,0]]and (A^(8) + A^(6) + A^(4) + A^(2) + I) V= [[0],[...

    Text Solution

    |

  13. If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all si...

    Text Solution

    |

  14. If [a b c1-a] is an idempotent matrix and f(x)=x-^2=b c=1//4 , then th...

    Text Solution

    |

  15. If the matrix A is involutary, show that (1)/(2)(I+A) and (1)/(2)(I-A)...

    Text Solution

    |

  16. A(3xx3) is a matrix such that |A|-a,R=(adj A) such that |B|=b. Find...

    Text Solution

    |

  17. Use matrix to solve the following system of equations. x+y+z=3 x+...

    Text Solution

    |

  18. Use matrix to solve the following system of equations. x+y+z=6 x-y...

    Text Solution

    |

  19. Use matrix to solve the following system of equations. x+y+z=3 x+2...

    Text Solution

    |

  20. Use matrix to solve the following system of equations. x+y+z=3 x+...

    Text Solution

    |