Matrix Diagonalisation & Quadratic Forms (week 10)

In this episode, we break down two powerful concepts in linear algebra: matrix diagonalisation and quadratic forms. Whether you're brushing up for an exam or just curious about how these ideas shape the math behind engineering, physics, and data science, we've got you covered.

We'll explore:

🔹 What it means to diagonalise a matrix and why it's useful

🔹 The role of eigenvalues and eigenvectors

🔹 How to simplify quadratic forms using orthogonal diagonalisation