12. Rotation is also a Matrix | Linear Algebra for Programmers

Table of contents

0) Introduction

1) Weighted sums

2) Geometry of weighted sums

3) Matrix is a function

4) Rank and reversibility

5) Barycentric coordinates

🔒 Matrix-Matrix product

🔒 Linear transformations

🔒 Polynomials are vectors

🔒 Bezier curves

🔒 Dot product

🔒 Transpose of a matrix

🔒 Rotations

🔒 Normal Vectors

🔒 Eigenvectors

🔒 Eigendecomposition

🔒 Eigenvectors of symmetric matrices

🔒 Powers of a matrix

🔒 Fibonacci numbers

🔒 Markov Matrices

🔒 Projection of a vector

🔒 Symmetric Mv Product

🔒 Positive definite matrix

🔒 SVD

🔒 Dimension Reduction

25) What Next?

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