Linear Systems: Continuous Time

Related lectures (27)

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Explores stability and solutions of linear systems in continuous and discrete time.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

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

Explores the unique decomposition of matrices into diagonalizable and nilpotent parts, showcasing their properties and applications.

Covers the diagonalization of matrices using eigenvectors and eigenvalues.