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The Geometry of Linear Equations

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang

A major application of linear algebra is to solving systems of linear equations. This lecture presents three ways of thinking about these systems. The "row method" focuses on the individual equations, the "column method" focuses on combining the columns, and the "matrix method" is an even more compact and powerful way of describing systems of linear equations.

Portion of Fig. 2.2 from the textbook Introduction to Linear Algebra.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 1.1, 1.2, and 2.1 in the textbook.

Problem Solving Video

Check Yourself

Problems and Solutions

Work the problems on your own and check your answers when you're done.

 

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