The following worksheet contains 3 examples that show you how to solve a linear system.
The 3 examples outline linear systems that have solution sets containing 1 point, infinitely many points, or no points.
Given a set of equations, the worksheet demonstrates how Maple can be used to convert these equations into a matrix, how to row-reduce the matrix, and how to determine the solution of the system. Then using Maple's Linear System Plot Tutor, the worksheet displays a graphical representation of the equations in each linear system and how they intersect.
The worksheet uses a Brief Review to describe an overdetermined, underdetermined, and precisely determined system and the different solution sets that each of these systems can generate.
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Watch the Solving Linear System - Video Tutorial (Ctrl + click) to see a walkthrough on how to solve the examples in the worksheet.
Feel free to post any questions or comments that you have!