Signals & Systems I: Preliminary Concepts and Linear Systems

Related lectures (26)

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Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Explores the exponential of a matrix, properties, Frobenius norm, nilpotent matrices, commutativity, and system solutions.

Explores matrix rank, subspaces, and their role in solving linear systems of equations.

Explores matrix equations, homogeneous systems, solutions, consistency, and properties.