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Lecture
Linear applications and independence
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Related lectures (24)
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Coordinate Systems and Applications
Covers the definition and use of coordinate systems and applications in bases and linear equations.
Linear Transformations: Polynomials and Bases
Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.
Generalization of Change of Basis Matrices
Covers linear algebra basics, including matrices, change of basis, and invertible matrices.
Linear Independence and Change of Basis
Covers linear independence, bases, change of basis, and vector representation.
Orthogonality and Projection
Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.
Linear Dependence and Independence
Explores linear dependence and independence of vectors, including subspaces generation and corollaries.
Linear Algebra: Vector Spaces
Explores vector spaces, linear independence, and spanning sets in linear algebra.
Linear Algebra: Bases and Dimension
Explores linear independence, bases, and dimension in vector spaces with examples involving matrices and polynomials.
Linear Equations and Vector Spaces
Explores solutions of linear equations, null spaces, subspaces, vector spaces, linear independence, bases, and dimensions.
Linear Algebra: Vector Spaces and Linear Independence
Covers vector spaces, operations, and linear independence with examples from polynomials and functions.