Gaussian elimination
General · Mathematics
Study notes
Q: Solve 2x+y = 5, x+3y = 5 by Gaussian elimination. Augmented: [[2,1|5],[1,3|5]]. R₂ → R₂-R₁/2: [[2,1|5],[0,2.5|2.5]]. Back: 2.5y = 2.5: y = 1. 2x = 4: x = 2! Solution: (2,1) ✓! (Forward eliminate, back substitute!)