Characteristic polynomial

Related lectures (30)

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Explores linear differential equations with constant coefficients and roots implications in determining solutions.

Explores the analysis of a harmonic oscillator under different damping regimes, focusing on strong and critical damping.

Covers the structure theorem for state-space representations and companion forms.

Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.

Explores complex number properties, roots, and polynomial equations in the complex plane.

Explores the analysis of free states and modes in multivariable control systems, emphasizing stability properties and practical examples.

Explores canonical equations for isolated systems, finding solutions and analyzing impulses.

Explains the characteristic polynomial, eigenvalues, and VAPs of matrices.

Explores orthogonal diagonalization of symmetric matrices using orthonormal bases and the Gram-Schmidt method.

Covers eigenvalues, eigenvectors, characteristic polynomial, and geometric multiplicities in linear transformations.