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Lecture
Linear Applications 3x3: Definition
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Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Diagonalization of Matrices and Least Squares
Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.
Linear Algebra Basics
Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Matrix Operations: Definitions and Examples
Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.
Linear Algebra: Vector Spaces and Linear Independence
Covers vector spaces, operations, and linear independence with examples from polynomials and functions.
Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Linear Algebra: Reduction of Linear Application
Covers the reduction of a linear application and finding corresponding reduced forms and bases.
Linear Algebra: Basis and Matrices
Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.