Linear Algebra: Multilinear Forms

Related lectures (28)

Page 2 of 3

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

Explores alternate forms, symmetric forms, and determinants in linear algebra.

Explores surjections in linear algebra, demonstrating their importance in mapping elements between sets.

Explores multilinear forms in linear algebra, emphasizing their role in vector space transformations.

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

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Covers linear independence, bases, and coordinate systems with examples and theorems.

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