Lectures related to Linear Systems: LU Factorization and Matrix Operations

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.

Covers matrix operations, including partitioning and block multiplication.

Explores matrix operations, coefficients, multiplication properties, and the power of matrices.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores the effect of rounding errors in solving linear systems using the LU factorization method.

Explores LU decomposition for matrix factorization and solving linear systems.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers matrix operations, focusing on the product and inverse of matrices.