Introduction to Linear Algebra

4.311 hours99 learnersBeta
Discover the essentials of linear algebra, including vectors and matrices, and prepare yourself for work in the tech industry.
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What you'll learn

Upon completing this course, you will:

  • describe objects and present data with vectors and matrices;
  • use matrices to solve linear equations;
  • perform various operations with vectors and matrices;
  • determine matrix determinant and inverse and their applications;
  • get a taste of structured linear algebra through vector spaces and vector bases.
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Learn by doing

# 1
Apply knowledge into practice
You already know the theory. Now it's time to code like you do at work—in a professional IDE, with real project constraints, solving problems that actually matter. Welcome to software engineering as it should be.
# 2
Navigate complexity with surgical precision
Most developers waste months learning random concepts without seeing how they connect. Our interactive Knowledge Map fixes this. It shows exactly how every programming concept relates to others, helping you build a structured mental model of coding.
# 3
Copy the best. Then improve.
Here's what top engineers do that others don't: they study other people's code obsessively. When you get stuck on Hyperskill, you can explore solutions published by other developers. See their exact code. Understand their approach. Learn their tricks.
# 4
Code review that actually makes you better
We stripped code review down to what actually matters: does your solution work? Have you handled the edge cases? Is there a cleaner way to write this? Hyperskill acts like a competent reviewer who actually tests your code. Not genius-level analysis, not architecture debates — just solid feedback on making your code better.

Topics covered by this course

Matrices
11 topics
Fundamentals
9 topics
Vectors and vector spaces
9 topics
Systems of linear equations
9 topics
Linear operators
5 topics
Equations
2 topics
Analysis
1 topic
Analytic geometry
1 topic

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Edvancium

Edvancium

Edvancium offers engaging learning materials with a strong focus on practice, ensuring you'll be equipped with job-ready skills. They make your educational journey seamless and focused by providing clear, well-structured content that transforms complex topics into manageable and enjoyable learning experiences. https://edvancium.com

Your peers think Hyperskill rocks

Dmytro avatar
Dmytro
7 months ago
This is quite frustrating course. I mean, algebra is abstract, but you propose your course on a web/app platforms and have access to all fancy stuff like illustrations and animations. There are no good examples of linear algebra application. This course is all about throwing some equations in the st ...
NifeKKeen avatar
NifeKKeen
1 year ago
Well structured course, got most of insights of linear algebra. Excited how Hyperskill team will advance the content for the future learners!
Daniel Wirth
1 year ago
For years I haven't used (consciously) linear algebra. As I'm interested in ML I took the pain to go through this course. It was a good refresher.

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