How to Compute the Determinant of a Matrix in Python (Beginner Friendly)
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In this step-by-step tutorial, you’ll learn how to compute the determinant of a matrix in Python using NumPy—perfect for beginners in linear algebra, data science, and machine learning!
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In this video, I break down the mathematical concept of determinants and show you how to calculate them using Python and NumPy. We start with the fundamentals—what a determinant is, its key properties, and why it matters for understanding matrix invertibility and system solvability. I walk through manual calculations for both 2x2 and 3x3 matrices step by step, so you can see exactly how the math works.
Then we jump into Python, where I demonstrate how to compute determinants in literally one line of code using NumPy's linear algebra module. After that, we explore important properties like singular matrices, identity matrices, the product rule, row swapping, eigenvalue relationships, and matrix scaling. Each property is demonstrated with working code examples so you can see the theory in action. By the end of this tutorial, you'll have a solid understanding of determinants and be able to apply them confidently in your own linear algebra projects. Perfect for data science students, machine learning engineers, or anyone learning computational mathematics.
TIMESTAMPS
00:00 Introduction to Determinants
01:05 Properties of Determinants
02:15 Manual Calculation: 2x2 Matrix
02:50 Manual Calculation: 3x3 Matrix
04:22 Python Implementation with NumPy
05:17 2x2 Example in Code
05:54 3x3 Example in Code
07:11 Singular Matrix Example
08:18 Identity Matrix Determinant
09:09 Product of Matrices Property
11:17 Swapping Rows Property
12:06 Eigenvalues and Determinant
13:10 Scaling a Matrix Example
15:19 Conclusion and Channel Info
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Who is Ryan
Ryan is a Data Scientist at a fintech company, where he focuses on fraud prevention in underwriting and risk. Before that, he worked as a Data Analyst at a tax software company. He holds a degree in Electrical Engineering from UCF.
Who is Matt
Matt is the founder of Width.ai, an AI and Machine Learning agency. Before starting his own company, he was a Machine Learning Engineer at Capital One.
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