1.2 Parameters in solutions for Linear Algebra beginners
Channel: C Chipman
Date: 2022-07-17

Open Educational Resource
from section 1.2 of
 https://lyryx.com/linear-algebra-applications/ 
 ***If you have more variables than equations, you need parameters.  This video shows how to select parameters and use them for equations.
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Parameters can be any number you wish.  (They are arbitrary.) 
For this example, if t = 1 and u = -1, then
X1 = -2
X2 = 3
X3 = 1
X4 = -1
X5 =  -1
If t = 100 and u = -pi, then
X1 = -301 + pi
X2 = 101 + pi
X3 = 100
X4 = -pi
X5 =  -pi