Lectures related to Eigen Library for Linear Algebra

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

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

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

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers the basics of Numpy, including importing the library, creating arrays, and performing linear algebra operations.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Covers the definitions and properties of matrices, including matrix operations and determinants.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Introduces Eigen and Pybind libraries for linear algebra operations and C++ function binding to Python.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

Explores linear combinations, matrix-vector product, and matrix equation solutions.

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