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Lecture
Diagonalization of Matrices
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Diagonalization of Matrices and Least Squares
Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.
Linear Applications and Matrix Calculus
Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.
Matrix Similarity and Diagonalization
Explores matrix similarity, eigenvalues, and diagonalization in linear algebra.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Diagonalization of Matrices
Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.
Diagonalization Method: Application and Properties
Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.
Matrix Operations: LU Factorization & Linear Independence
Covers LU factorization, linear independence, and matrix equations.
Linear Algebra Basics
Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.