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Introduction to Linear Algebra – Definition, Major and Sub-topics, and Cons

Introduction to Linear Algebra – Definition, Major and Sub-topics, and Cons

by Cherie McCord

Like Calculus, linear algebra is considered to be one of the most demanding branches of mathematics. However, there is no calculus in linear algebra. It is a separate field and has positives and negatives of its own. We are here to make your study journey beautiful, easy and stress-free.

And one way of making your journey stress-free is to introduce you to the basics of a subject that appears challenging to you and others.

This article has shed light on the fundamentals of linear algebra; its definition, syllabus, and cons are discussed next!

Let’s kickstart the topic!

Table of Contents

  • What is Linear Algebra in Simple Words?
  • What are You Going to Study in Linear Algebra?
  • Disadvantages of Studying Linear Algebra 
    • 1. You Can Do Well in Machine Learning Without Mastering Linear Algebra 
    • 2. Learning Linear Algebra is a Lengthy and Slow Process
  • Final Statement 

What is Linear Algebra in Simple Words?

In the simplest sense, one can call linear algebra one of the most demanding and thought-provoking branches of mathematics that encapsulates the study of linear equations.

What are You Going to Study in Linear Algebra?

Linear algebra is a difficult subject that has a huge syllabus. It is not a simple task to compile all the main and sub-topics of this subject in this article.

However, we have highlighted some of the major topics that you are supposed to study if you opt for this course.

These topics include the study of linear systems, matrices, vectors, eigenvalues, and eigenvectors. Major sub-topics of this subject include the study of Gaussian Elimination, Higher Dimensions, Conversion to Matrix Notation, Transforming Curves, Determinants, Inverses, Transposes, Rotations, Translations, Vector Spaces, Vector Subspaces, etc.

Note that these are not the only topics you get to study in this course. These are only a few of them. In case you want to study linear algebra through Distance Calculus or want to know more about linear algebra for credit, feel free to visit.

Disadvantages of Studying Linear Algebra 

As mentioned before, it is a demanding subject that needs a lot of persistence, determination, and dedication from you, and for that reason, you need to know the not-so-good side of choosing this course.

1. You Can Do Well in Machine Learning Without Mastering Linear Algebra 

One of the few reasons for not studying linear algebra is that it is not needed or mandatory to learn about machine operations. Some of the operational algorithms taught in this course have no benefit for you in machine learning, and you can do well without investing your time in learning those algorithms.

2. Learning Linear Algebra is a Lengthy and Slow Process

One of the things about linear algebra is that it has a bunch of topics that have nothing to do with applied or operating machine-learning skills. If you keep on studying the whole course, you will waste years of your youth and will end up in frustration.

Final Statement 

Most college and university-going students don’t opt for linear algebra because they find it too hard to study. And there is no denial in it. However, it is important to note that everything you study in this course is not going to help you out in the practical field, and that is why it is recommended that you study the major topics. But if you go for this subject, it can make you unique among all people.  (Wink) For detailed guidance, leave a message to us!

Filed Under: Education

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