Home
Class 12
MATHS
Solve the system of equations x+2y+3z=1,...

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

Text Solution

AI Generated Solution

To solve the system of equations using matrix inversion, we will follow these steps: Given the equations: 1. \( x + 2y + 3z = 1 \) 2. \( 2x + 3y + 2z = 2 \) 3. \( 3x + 3y + 4z = 1 \) ### Step 1: Represent the system in matrix form ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|9 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

Similar Questions

Explore conceptually related problems

solve the system of equations x+y+z=6,x+2y+3z=14 and x+4y+7z=30 with the help of matrix method.

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

The system of equations x+2y-4z=3,2x-3y+2z=5 and x -12y +16z =1 has

Find A^(-1), where A=[1 2-3 2 3 2 3-3-4] . Hence solve the system of equations: x+2y-3z=-4,2x+3y+2z=2 , 3x-3y-4z=11

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

If the system of equations 3x+y+z=1, 6x+3y+2z=1 and mux+lambday+3z=1 is inconsistent, then

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

Solve the following system of equations: x-y+z=4,\ \ \ \ x-2y-2z=9,\ \ \ \ 2x+y+3z=1

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

ARIHANT MATHS ENGLISH-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Solve the system of equations x+2y+3z=1,2x+3y+2z=2 and 3x+3y+4z=1 with...

    Text Solution

    |

  2. Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |

  5. If A^(2)-A+I=O, then A^(-1) is equal to

    Text Solution

    |

  6. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

    Text Solution

    |

  7. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

    Text Solution

    |

  8. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

    Text Solution

    |

  9. Let A=[{:(1,2),(3,4):}]and B = [{:(a,0),(0,b):}] where a, b are natura...

    Text Solution

    |

  10. If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(...

    Text Solution

    |

  11. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

    Text Solution

    |

  12. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

    Text Solution

    |

  13. Let A be a square matrix all of whose entries are integers. Then wh...

    Text Solution

    |

  14. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...

    Text Solution

    |

  15. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  16. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  17. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  18. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  19. The number of 3xx3 matrices a whose entries are either 0 or 1 and for ...

    Text Solution

    |

  20. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  21. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |