Скачать или смотреть Diagonalization of a 3x3 Matrix | Full Step-by-Step Numerical Example

Diagonalizing a 3x3 matrix is one of the most important skills in linear algebra—but also one of the most confusing for students.
In this video, we go through a complete numerical example step by step, so you can finally see how it’s done without skipping any details.

What you’ll learn:
✅ How to find eigenvalues for a 3x3 matrix
✅ How to calculate eigenvectors clearly
✅ How to build the matrices M and D
✅ How to check your diagonalization works

This is a pure numerical example designed to make diagonalization simple, logical, and exam-ready.

Why it’s useful:

Essential for IB Math HL, Engineering, Physics, Economics, and Computer Science

Builds the foundation for advanced applications like Markov Chains, PageRank, and differential equations

Helps you gain confidence with eigenvalues and eigenvectors before moving to larger problems

By the end of this lesson, you’ll know exactly how to diagonalize a 3x3 matrix on your own.

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