Concepts4
📚TheoryIntermediate
Linear Algebra Theory
Linear algebra studies vectors, linear combinations, and transformations that preserve addition and scalar multiplication.
#linear algebra#vector space#basis+12
📚TheoryIntermediate
Gradient Descent Convergence Theory
Gradient descent updates parameters by stepping opposite the gradient: x_{t+1} = x_t - \eta \nabla f(x_t).
#gradient descent#convergence rate#l-smooth+12
∑MathIntermediate
Gaussian Elimination
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.
#gaussian elimination#partial pivoting#row echelon form+12
∑MathIntermediate
Matrix Inverse
A matrix inverse undoes the effect of a linear transformation, just like dividing by a number undoes multiplication.
#matrix inverse#gauss-jordan#lu factorization+12