Linear Algebra: Matrix Transformations and Determinants

Related lectures (22)

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Explores the properties of invertible matrices, including unique solutions and linear independence.

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

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Explores eigenvalues, eigenvectors, diagonalization, and spectral theorem in linear algebra.

Introduces fundamental concepts in linear algebra, such as vector spaces and eigenvalues.

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

Explores the reduction of a linear transformation with a single real eigenvalue.

Covers matrix transposition, rank, and basis change in linear algebra, exploring invertibility criteria and basis relationships.

Covers the concept of expressing vectors in proper bases and the importance of diagonalization of matrices.

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