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. …

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)…