Lecture
Linear Dependence and Independence: Properties and Criteria
Related lectures (40)
Orthogonal Projection: Theory and Applications
Covers the theory of orthogonal projection in vector spaces and its practical applications.
Linear Algebra: Applications and Matrices
Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.
Linear Dependence and Independence
Explores linear dependence and independence of vectors, including subspaces generation and corollaries.
Linear Transformations: Polynomials and Bases
Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.
Orthogonal Families & Projections
Covers orthogonal families and projections in vector spaces, including the Gram-Schmidt process.
Linear Algebra Basics
Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Coordinate Systems and Applications
Covers the definition and use of coordinate systems and applications in bases and linear equations.
Linear Algebra: Matrices and Vector Spaces
Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.
Orthogonal Families and Linear Combinations
Explores orthogonal families, vector orthogonality, and linear combinations in vector spaces.