Eigenvalues

Skill Type Description Source
22.1 Basic Concepts 2 Workbook Obtain eigenvalues and eigenvectors of 2 X 2 and 3 X 3 matrices + state basic properties of eigenvalues and eigenvectors HELM
22.2 Applications of Eigenvalues and Eigenvectors 18 Workbook Diagonalize a matrix with distinct eigenvalues using the modal matrix + solve systems of linear differential equations by the decoupling method HELM
22.3 Repeated Eigenvalues and Symmetric Matrices 30 Workbook State the conditions under which a matrix with repeated eigenvalues may be diagonalized + state the main properties of real symmetric matrices HELM
22.4 Numerical Determination of Eigenvalues and Eigenvectors Workbook Use the power method to obtain the dominant eigenvalue (and associated eigenvector) of a matrix + state the main advantages and disadvantages of the power method HELM

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