Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Vector Subspaces and Canonical Forms
Graph Chatbot
Related lectures (47)
Matrix Determinants and Linear Independence
Log in to Mediaspace to watch this video
Explores matrix determinants, linear independence, and bases in vector spaces.
Orthogonality and Projection
Log in to Mediaspace to watch this video
Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.
Vector Spaces Equivalence
Log in to Mediaspace to watch this video
Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.
Linear Independence and Bases in Vector Spaces
Log in to Mediaspace to watch this video
Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.
Linear Independence and Bases
Log in to Mediaspace to watch this video
Covers linear independence, bases, and coordinate systems with examples and theorems.
Orthogonality and Subspace Relations
Log in to Mediaspace to watch this video
Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.
Projection in Vector Spaces
Log in to Mediaspace to watch this video
Explores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.
Orthogonal Sets and Bases
Log in to Mediaspace to watch this video
Introduces orthogonal sets and bases, discussing their properties and linear independence.
Sylvester's Theorem: Orthogonal Bases
Log in to Mediaspace to watch this video
Explores Sylvester's Theorem and the importance of orthogonal bases in linear algebra.
Orthogonal Bases in Vector Spaces
Log in to Mediaspace to watch this video
Covers orthogonal bases, Gram-Schmidt method, linear independence, and orthonormal matrices in vector spaces.
Vector Spaces: Definitions and Examples
Log in to Mediaspace to watch this video
Covers the definition and examples of vector spaces, including subspaces and linear transformations.
Vector Spaces: Properties and Examples
Log in to Mediaspace to watch this video
Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.
Linear Independence in Vector Spaces
Log in to Mediaspace to watch this video
Explores linear independence in vector spaces and the concept of bases.
Orthogonal Complement and Projection Theorems
Log in to Mediaspace to watch this video
Explores orthogonal complement and projection theorems in vector spaces.
Linear Maps and Bases: The Rank Theorem
Log in to Mediaspace to watch this video
Covers bijective linear maps, invertibility of matrices, isomorphisms, and the rank theorem.
Linear Combinations and Basis Characterization
Log in to Mediaspace to watch this video
Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.
Orthogonal Matrices: Properties and Applications
Log in to Mediaspace to watch this video
Explores the properties and applications of orthogonal matrices in linear algebra, focusing on orthogonality and projections.
Linear Forms in Vector Spaces
Log in to Mediaspace to watch this video
Covers the definition and properties of linear forms in vector spaces, including generating families and direct sums.
Matrix Equations: Linear Combinations
Log in to Mediaspace to watch this video
Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.
Matrix Operations and Vector Spaces
Log in to Mediaspace to watch this video
Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.
Previous
Page 2 of 3
Next