Kiru Lab / The Mathematics of Learning
The Linear Algebra You Actually Need
Vectors as meaning, matrices as functions, and the geometry of similarity.
In this module you will
- Interpret a dot product as a measure of alignment
- Read a matrix as a map from one space to another
- Explain what an eigenvector is without reciting a definition
Vectors, Dot Products, and Alignment
The dot product is the single most-used operation in machine learning. It measures agreement.
Concept · 30m
Matrices Are Functions
A matrix is not a grid of numbers. It is a machine that turns vectors of one kind into vectors of another.
Concept · 30m
Decomposition: Finding Structure in a Matrix
Eigenvectors and the SVD tell you what a transformation actually does, independent of coordinates.
Concept · 30m