Summary: GAUSSIAN ELIMINATION - REVISITED
Consider solving the linear system
2x1 + x2 - x3 + 2x4 = 5
4x1 + 5x2 - 3x3 + 6x4 = 9
-2x1 + 5x2 - 2x3 + 6x4 = 4
4x1 + 11x2 - 4x3 + 8x4 = 2
by Gaussian elimination without pivoting. We denote
this linear system by Ax = b. The augmented matrix
for this system is
[A | b] =





2 1 -1 2
4 5 -3 6
-2 5 -2 6
4 11 -4 8
¯

Source: Atkinson, Kendall - Departments of Computer Science & Mathematics, University of Iowa

Collections: Computer Technologies and Information Sciences