Linear Algebra Basics

Related lectures (27)

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

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

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

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

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

Covers the organization of linear algebra course and exercises for civil engineering and environmental sciences students.

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

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

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