MATH 1025 Lecture Notes - Lecture 11: Free Variables And Bound Variables

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 1025
• Professor: Ada Chan

Document Summary

Basic variable-the variables corresponding to the columns which contain a leading 1. Free variable-the variables corresponding to the columns which do not contain a leading 1. We have basic variables x and y, and a free variable z. Note: if a consistent system contains a free variable, one may achieve a system with infinitely many solutions by assigning an arbitrary value to the free variable. We have infinitely many solutions to x -5z=3 y-10z=0. Let z =t, t in r, then x =3t+5t y=10t z =t.