Column Subset Selection: RRQR and TCS

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Matrix Operations: LU Factorization & Subspace Vector

Covers LU factorization, determinants, subspaces, and matrix products.

QR Factorization: Least Squares System Resolution

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.

Diagonalization Techniques: Jacobi Method

Covers the Jacobi method, Givens rotation, QR decomposition, and diagonalization techniques in computational physics.

Cholesky Factorization: Theory and Algorithm

Explores the Cholesky factorization method for symmetric positive definite matrices.

Transformer Architectures: Subquadratic Attention Mechanisms

Covers transformer architecture and subquadratic attention mechanisms, focusing on efficient approximations and their applications in machine learning.

The Spike-Wigner model

Explores the Spike-Wigner model, low-rank matrix factorization, and Gaussian matrices.

Linear Algebra: Matrices Properties

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Jordan decomposition

Explores the unique decomposition of matrices into diagonalizable and nilpotent parts, showcasing their properties and applications.

Matrix Operations: Multiplication and Inverses

Explores matrix multiplication, inverses, transposition, and determinants in linear algebra.