Linear Algebra Class
In a previous post, I wrote that I was going to take React lectures, but as I became busy with the start of the class, my plans changed. I decided to take a new course in linear algebra, and I would like to summarize what I learned here. Prior to the lecture, I listened to a summary of the overall direction, and the matrix was the main topic. In the recent high school curriculum, matrix has disappeared for a long time, but when I was in high school, matrix was playing a fairly important role. I was excited about the matrix I haven’t seen in a long time and began to take my first unit lecture.
Operations on one matrix
While using algebra if you are trying to solve some simple linear systems. But if you have a question including 100 equations and 100 unknowns it would be nearly impossible for you to solve with the methods in algebra. And that’s where matrices come in. Matrices will help you solve many complicated questions faster.
Linear systems in two unknowns
Before starting with matrices we should first learn what is a linear system. A Linear system is a system of equations, defined for a set of unknown variables, where each of the variables is linear. So in order to have a foundational underatanding of what we’re doing when we solve systems, we need to review basic methods for solving systems. Below is the examples of the solving method.
Substitution method
Elimination method
Graphing method
Linear systems in three unknowns
When there are three unknowns it is similar to when there are two unknowns. But it is hard to use graphing method. Below is a simple example of solving three unknowns.
Matrix dimensions and entries
A matrix is a rectangular array of values, where each value is an entry in both a row and a column. To be simple I just prepared some pic.
Representing systems with matrices
A major goal of this chapter is to start using matrices to solve systems, so we need to learn how to represent a linear system in a matrix, instead of just as a list of separate equations. Like before I wrote some stuff to help understand the systems.
