Groups
Category
Level
Linear algebra studies vectors, linear combinations, and transformations that preserve addition and scalar multiplication.
Gradient descent updates parameters by stepping opposite the gradient: x_{t+1} = x_t - \eta \nabla f(x_t).
Gaussian elimination is a systematic way to solve linear equations by cleaning a matrix into an upper-triangular form using row swaps, scaling, and adding multiples of rows.
A matrix inverse undoes the effect of a linear transformation, just like dividing by a number undoes multiplication.