The system x_dot = Ax is asymptotically stable if, all eigenvalues of A have positive real part, all eigenvalues of A have negative real part, all eigenvalues of A is complex conjugate, all eigenvalues of A is complex conjugate positive real part, The system x_dot = Ax is unstable if, at least one eigenvalue of A has positive real part, at least one eigenvalue of A is complex conjugate with positive real part, at least one eigenvalue of A has negative real part, at least one eigenvalue of A is complex conjugate, Recognize the source node plot, Recognize the spiral sink node plot, Recognize the saddle point node plot, Determine the properties of eigenvalues for linear map of proper nodes, one eigenvalue but two independent eigenvectors, two eigenvalue but one independent eigenvectors, two eigenvalue but two independent eigenvectors, one eigenvalue but one dependent, Determine the properties of eigenvalues for linear map of improper nodes, two linearly independent eigenvector, only one linearly dependent eigenvector, only one linearly independent eigenvector, two linearly dependent eigenvector, Determine the properties of eigenvalues for linear map of spiral and centers, two complex conjugate eigenvalues, one complex conjugate eigenvalues, two positive real part eigenvalues, two negative real part eigenvalues, Determine the properties of eigenvalues for linear map of sink, complex conjugate, real and similar, positive real and distinct, real and distinct, We can produce a new independent solution of the systems trough a technique involving a/an, eigenspace, reduction of order, separation variables, eigenvector equation

Quiz 2

by
Print
Embed

Leaderboard

Visual style

Options

Switch template

Continue editing: ?