My homeworks for the Linear Algebra course.

hw1: Convolution of a signal, Gram-Schmidt algorithm + theory

hw2: Cooley-Tukey FFT algorithm, Strassen algorithm, 1D & 2D fast convolution, Compressing an image using trunction of singular values, High-Order SVD (HOSVD) algorithm in 3D

hw3: QR factorization using Housholder reflections and the modified Gram-Schimdt algorithm, Gram-Schimdt algorithm vs modified Gram-Schimdt algorithm, Simple English Wiki, a face classifier, a recommender systems with SVD + theory

hw4: Krylov method for an image reconstruction, Tikhonov regularization + theory