Problem-solving before Instruction: Linear Algebra for Mechanical Engineers

Related lectures (24)

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Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Provides details about Linear Algebra course logistics, exercise sessions, and exam information.

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

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Explores change of basis matrices in linear algebra, emphasizing the importance of understanding matrix transformations between different bases.

Explores linear models, least squares, Gaussian vectors, and model selection methods.

Covers the basics of linear mapping and coordinate systems.

Explores linear applications in 3D, emphasizing images, kernels, and solution uniqueness in systems.

Covers the concept of convex functions and their applications in optimization problems.