A valuable experience — Over the last few months, I have been exposed to an introduction in linear algebra, teaching myself the basics. It was for a project for my math class at school, which culminated in me giving my classmates an in-person lecture. Since linear algebra was a completely new topic to me…

The final part — As my presentation has been concluded, I’d like to give a few remarks about my experiences, as well as go over the final topic in my journey diving into linear algebra. I have to say, I enjoyed learning about this new branch of mathematics, especially knowing that it has uses…

Delving deeper into row operations — In part 1, I explored how matrices can be used to solve systems of linear equations. I talked about row operations, matrices, REF and RREF form, and other key concepts that can help us solve systems of equations using linear algebra. However, I didn’t actually hit on the mechanics of…

How areas are changed — At this point, I have covered most of the topics that I want to go over in my presentation. This section will be a short, sweet overview of a fun topic that will be useful for a longer, more challenging article. We’ll be covering the determinant. Determinant Imagination A determinant is simply…

New March 29th Presentation Date — In this part of my linear algebra series, I’ll be going over what a linear transformation is, and how it applies to matrices and matrix multiplication. I found this part of linear algebra to be very visual, a perspective of math that I’ve been trying to adopt recently. I had…

The basis of linear algebra — As we move into February, my presentation is looming closer and closer. At this point, I have my outline roughly mapped out, and I am just researching some of the concepts that I am less comfortable with. Since my project is only supposed to be an introductory lesson, I am…

How to better solve systems of equations — As break has just recently finished, I’ve finally been able to start my math project in linear algebra. For now, I’ve simply been reading online and watching YouTube videos on the preliminary information; I have concentrated my work on matrices, particularly how they pertain to solving complex and tedious systems…

Documenting my endeavors in linear algebra — As part of a project for my Advanced Topics in Mathematics course in school, I was tasked to learn about a brand new topic in mathematics. The end goal is to teach an introductory lesson to my classmates. For this project, I chose to learn about linear algebra, mostly because…

An Introduction to Differential Equations — When we think about the math that we have learned throughout school, the overwhelming majority deals with absolute quantities. For example, if given the linear function f(x) = x + 2, for whatever input x, we obtain an output that is a fixed number quantity: if x = 2, f(x)…