Lectures related to Linear algebra: systems of equations

Covers the least squares solution to the equation Ax=b, focusing on the normal equation and its application.

Explores matrix equivalence theorems for systems of equations and least squares solutions.

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

Explores the properties of invertible matrices, including unique solutions and linear independence.

Covers linear algebra operations and applications, including matrix multiplication and eigenvalues.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers direct methods for solving linear systems in numerical analysis.

Explores the concept of linear dependence of vectors in a vector space.