Matrix Diagonalisation & Quadratic Forms (week 10)

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Study Engineering: Engineering Mathematics 214

notebookLM - KNS

5 episodes

1 day ago

Study Engineering: Engineering Mathematics 214 is your study companion for tackling the core math topics in engineering. From Laplace transforms and vectors to differential equations and linear algebra, each episode breaks down complex concepts into clear, practical explanations. Created by a mechanical engineering student using NotebookLM and AI, this podcast blends smart tools with real lecture notes and textbook content to deliver focused, reliable, and student-friendly episodes. Perfect for revision, deep dives, or catching up on the go.

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Matrix Diagonalisation & Quadratic Forms (week 10)

Study Engineering: Engineering Mathematics 214

17 minutes 30 seconds

7 months ago

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