**Date:** April 22 2020

**Summary:**

**Keywords:** ##zettel #linearalgebra #deduction #system #linear #equations #theorem #math #archive

Not Available

A system of linear equations has no solutions, a unique solution or infinitely many solutions

This is a fundamental theorem found in the examination of linear equations. Geometrically, we can visualize each case two and three dimensionally as follows:

Zelko, Jacob. *Possible Solution Sets for Linear Equations*. https://jacobzelko.com/04222020151920-linear-theorem. April 22 2020.

CC BY-SA 4.0 Jacob Zelko. Last modified: January 17, 2023.
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