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Exercise 6

Avg difficulty 3.0

For each matrix, find the characteristic equation, and the eigenvalues and associated eigenvectors.

  • (a)  (3−20−230005)\begin{pmatrix}3&-2&0\\ -2&3&0\\ 0&0&5\end{pmatrix}     (b)  (0100014−178)\begin{pmatrix}0&1&0\\ 0&0&1\\ 4&-17&8\end{pmatrix}

Hefferon, Linear Algebra, Similarity, Eigenvalues and Eigenvectors, Exercise 6

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.