MAT 1341 Lecture Notes - Lecture 6: Augmented Matrix, Gaussian Elimination
5 Mar 2018
School
Department
Course
Professor
Document Summary
Phase i is usual gaussian alg. now taking a to be only the part below the current row (where you made a leading 1) For each pivot starting from bottom make all entries above the pivot zero (same method as (4) above) Solution: as before, we carry out reduction on the system of equations and on the augmented matrix simultaneously, in order to make it clear that row operations on equations correspond exactly to row operations on matrices. 2x2 + x3 = 8 x1 2x2 3x3 = 0. Swap row 1 and row 2. x1 2x2 3x3 = 0. Add row 1 to row 3. x1 2x2 3x3 = 0. Swap row 2 and row 3. x1 2x2 3x3 = 0. Add twice row 2 to row 3. x1 2x2 3x3 = 0. Add 1 times row 3 to row 2. Add 3 times row 3 to row 1. x1 2x2.
