the.com/linear algebra
The math of stretching, squishing, and rotating space without breaking the grid lines.
means The branch of mathematics that studies vectors, matrices, and linear transformations — how collections of numbers can represent and manipulate space itself.
from 'Linear' traces back to Latin linea, 'a line,' because the equations involved graph as straight lines rather than curves. 'Algebra' comes from Arabic al-jabr, meaning 'the reunion of broken parts,' from a 9th-century treatise on solving equations by moving terms around to restore balance. The two words merged in the 1800s when mathematicians like Cayley and Sylvester began organizing numbers into grids called matrices, turning old-fashioned line equations into a whole new machinery for describing many-dimensional space.
- core trick
- Turns impossible systems of equations into one matrix
- real use
- Runs every neural network, ever, underneath
- secret weapon
- Eigenvectors are the directions nothing weird happens
- dirty secret
- Most of it is just organized addition