MATH1120 Study Guide - Final Guide: Augmented Matrix, Global Positioning System, Scalar Multiplication

• School: University of Newcastle
• Department: Mathematics
• Course: MATH1120
• Professor: Andrew Morris

Document Summary

Linear algebra (ii): geometric interpretations of linear equations. 1 interpretation via rows line in the plane. We know that a linear equation in two variables can be interpreted as the equation of a. 3 can be interpreted as a line of slope 2 3 and with a y-intercept of 2. Solve the following system of linear equations and interpret the result geometrically. x x. We can see from the reduced row-echelon form that this system of equations is inconsistent. The geometric interpretation of this is that there is no point in the plane that lies on all three lines, as can be seen in figure 1. For systems of linear equations involving three unknowns each equation (or alternatively each row in the augmented matrix) can be thought of as representing a plane. Linear algebra (ii) - lecture notes in 3 , i. e. in three dimensions.