The system of linear equations has a unique solution.

Question

Find the solution using Gaussian elimination or Gauss-Jordan elimination.
x + y + 6z = 3
x + y + 3z = 3
x + 2y+ 4z = 7

Answer 1

The system of equations are .

Write the equations into matrix form AX = B, where A is coefficient matrix , X is variable matrix and B  is constant matrix.

.

The augmented matrix is [A : D ]

are represent the first row, second row and third row respectively.

Solutions : .