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Lecture
Linear Applications: Definitions and Examples
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Linear Applications: Matrices and Transformations
Explores linear applications, matrices, transformations, rotations, symmetries, and properties of applications.
Linear Transformations: Polynomials and Bases
Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.
Orthogonal Matrices and Eigenvalues
Explores orthogonal matrices, eigenvalues, and orientation-preserving transformations in linear algebra.
Decomposition LLT: Example
Explains the decomposition LL² with an example and detailed calculations.
Linear Recurrences and Applications
Explores linear recurrences, applications between sets, and the significance of functions and operators in mathematics and physics.
Lines Spaces and Equivalent Matrices
Covers the concept of lines spaces and equivalent matrices in linear algebra.
Linear Algebra: Bases and Linear Dependence
Covers bases, linear dependencies, injective and surjective transformations, and matrix representation in linear algebra.
Linear Applications: Vectorial Structure
Explores the vectorial structure of linear applications, including addition, scalar multiplication, and matrix representation.
Linear Transformations in 3D
Explores linear transformations in 3D space using matrices and their applications.