Lectures related to Matrix Solutions: Infinite Possibilities

Explores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.

Introduces linear transformations, mapping vectors to unique terms and exploring matrix equations.

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.

Explores dynamic programming for matrix chain multiplication and introduces the concept of the longest common subsequence.

Explores methods for solving linear systems and building solutions step by step.

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

Covers matrix calculus, including determinants, matrix inversion, and solutions to systems of linear equations.