Application of linear systems  Linear Equations with Matrices
Application of linear systems
Lessons
Notes:
We will be looking at reallife problems involving linear algebra. The three types of reallife applications we will be looking at are:
1. Linear systems in Economics
2. Linear systems with Chemical Equations
3. Linear systems with Network Flow
In economics, we can use linear algebra to determine the equilibrium price of outputs for each sector. Note that in order to get the equilibrium price, we need to set
Income = expenses (expenditures)
In Chemistry, we can use linear algebra to balance chemical equations like:
$N_2+H_2$→$NH_3$
We do so by counting the number of elements in a compound, and turning each coefficient as a variable to solve.
We can also use linear algebra to study the flow of some quantity through a network. Make sure that for each node:
Flow in = Flow out
Our goal is to make all of these questions into matrix, and then solve.

Intro Lesson
Applications of Linear Systems Overview: