Linear Scalar Equations

Related lectures (27)

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Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Explores linear independence in vector spaces and the concept of bases.

Explores linear dependence and independence of vectors, including subspaces generation and corollaries.