Lectures related to Algebraic Multiplicity, Geometric Multiplicity

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Covers eigenvalues, eigenvectors, characteristic polynomial, and geometric multiplicities in linear transformations.

Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.

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

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

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Covers matrix eigenvalues, eigenvectors, and their linear independence.

Covers bases, transformations, and matrix decompositions in linear algebra.