Gauss Reduction

Question

Use gauss reduction for a matrix with the equations:

x + y + z = 7

2x + y = 6

x + 2z + 5

Answer 1

The equations are x + y + z = 7

2x + y = 6

x + 2z = 5

Write the equations into matrices form AX = B

A is coefficient matrix,X is variable matrix and B is constant matrix.

The augmented matrix is

  are represents first row, second row and third row .

 

Solution x = 1, y = 4, z = 2.