Home
Class 12
MATHS
Solve the following system of equations ...

Solve the following system of equations by matrix method.
`3x-2y + 3z= 8`
`2x + y-z = 1`
`4x-3y + 2z = 4`

Text Solution

AI Generated Solution

To solve the system of equations using the matrix method, we follow these steps: ### Step 1: Write the system of equations in matrix form The given equations are: 1. \(3x - 2y + 3z = 8\) 2. \(2x + y - z = 1\) 3. \(4x - 3y + 2z = 4\) ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of equations by matrix method: x-y+z=2,\ \ 2x-y=0, \ \ 2y-z=1

Solve the following system of equations by matrix method: 3x+7y=4,\ \ x+2y=-1

Solve the following system of equations by matrix method: x+y-z=3 , 2x+3y+z=10 ,3x-y-7z=1

Solve the following system of equations by matrix method: 2x+6y=2,\ \ 3x-z=-8,\ \ x-y+z=-3

Solve the following system of equation by matrix method x + y - 2z = 1; x - y + z = 0; 2x + 3y - 4z = 2,

Solve the following system of equations, using matrix method. x+2y+z=7,x+3z=11 ,2x-3y=1

Solve the following system of equations, using matrix method. x+2y+z=7,x+3z=11 ,2x-3y=1

Solve the following system of equations by matrix method : x+y-2z=3 , 2x+3y+z=10 and 3x-y-7z=1

Solve the following system of equations by matrix method: 2x+y+z=2,\ \ x+3y-z=5,\ \ 3x+y-2z=6

Solve the following system of equations by matrix method: 8x+4y+3z=18 ,\ \ 2x+y+z=5,\ \ x+2y+z=5

NCERT ENGLISH-DETERMINANTS-All Questions
  1. Solve system of linear equations, using matrix method, x - y + z = 4"...

    Text Solution

    |

  2. The sum of three numbers is 6. If multiply theird number by 3 and add ...

    Text Solution

    |

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

    Text Solution

    |

  4. Solve the system of equations2x + 5y = 1 and 3x + 2y = 7

    Text Solution

    |

  5. Show that the matrix A=[2 3 1 2]satisfies the equation A^2-4A+I=0

    Text Solution

    |

  6. If A=[[2,3],[1,-4]]and B=[[1,-2],[-1,3]], then verify that (A B)^(-1)=...

    Text Solution

    |

  7. If A=[[1 ,3 ,3],[ 1, 4 ,3],[ 1, 3, 4]],then verify thatA a d j A = |A|...

    Text Solution

    |

  8. Find adj for A=[[2 , 3 ] , [1 , 4]]

    Text Solution

    |

  9. Find minors and cofactors of the elements of the determinant|2-3 5 6 ...

    Text Solution

    |

  10. Find minors and cofactors of the elements a(11), a(21)in the determin...

    Text Solution

    |

  11. Find minors and cofactors of all the elements of the determinant |[1,...

    Text Solution

    |

  12. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  13. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  14. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  15. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  16. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  17. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  18. Using the property of determinants and without expanding, prove that:...

    Text Solution

    |

  19. By using properties of determinants. Show that:|[x,x^2,y z],[ y, y^2,z...

    Text Solution

    |

  20. By using properties of determinants. Show that: (i) |[1,a, a^2],[ 1,...

    Text Solution

    |