Applied Mathematics 1411A/B Lecture Notes - Lecture 2: Row Echelon Form, Equals Sign, Free Variables And Bound Variables

• School: Western University
• Department: Applied Mathematics
• Course: Applied Mathematics 1411A/B
• Professor: All

Document Summary

In this section we will discuss some brief applications of linear systems. These are but a small sample of the wide variety of real-world problems to which our study of linear systems is applicable. 3 is negative so flow in opposite direction. 3 equations 3 unknowns voltage drop a i. ii. iii. When provided a series of points, the degree of the equation is one less. If two points are given the equation is first degree. If there is the same number of unknowns as there are equations, use substitution or elimination to solve. In a non-zero row, the first non-zero element is 1. Row that have all zeros must be at the bottom. The first non-zero element in a row (the 1) moves to the right as we move down in the matrix. In a column that contains a leading 1, all other elements are zero (reduced row echelon)