MATH 2331 Lecture Notes - Augmented Matrix, Identity Matrix, Elementary Matrix

• School: Northeastern University
• Department: Mathematics
• Course: MATH 2331
• Professor: Rita Jimenez Rolland

Document Summary

6y 12z = 6 ( 6) x + 2y + 3z = 0 (-2ii) y + 2z = 1 y + 2z = 1 (-ii) x z = 2 y + 2z = 1. Find the solutions of the system: x + 2y + 3z = 0. 3y 6z = 3 ( 3) 0 = 1 this false statement implies no solution. Steps to solve a system of linear equations: leading variable of equation i should have coe cient of 1; if not, divide, eliminate leading variable from other equations by subtracting scalar multiples of i, repeat with remaining equations. Solution set single point solution; true statement (0 = 0) solutions; false statement (0 = 1) no solutions. A = a12 a22 a11 a13 a21 a23 an1 an2 an3 a1m a2m anm. An n m matrix a is the array of real numbers with n m entries.