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Lecture
Matrix Operations and Vector Spaces
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Related lectures (24)
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Linear Transformations and Basis Changes
Covers the concept of interesting subspaces related to matrices and the change of basis matrix.
Introduction to Vector Spaces
Introduces the concept of vector spaces and covers properties of vectorial subspaces.
Generalization of Change of Basis Matrices
Covers linear algebra basics, including matrices, change of basis, and invertible matrices.
Vector Spaces: Properties and Examples
Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.
Vector Subspaces in R4
Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.
Vector Spaces: Definition, R2
Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.
Vector Spaces: Definitions and Examples
Covers the definition and examples of vector spaces, including subspaces and linear transformations.
Vector Subspaces
Explores the definition and properties of vector subspaces in linear algebra.
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Matrix Operations: Linear Systems and Solutions
Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.