Characteristic Polynomial - Examples

Examples

Suppose we want to compute the characteristic polynomial of the matrix

A=\begin{pmatrix} 2 & 1\\ -1& 0 \end{pmatrix}.

We must compute the determinant of

t I-A = \begin{pmatrix} t-2&-1\\ 1&t-0 \end{pmatrix} which is the characteristic polynomial of A.

Another example uses hyperbolic functions of a hyperbolic angle φ. For the matrix take

Its characteristic polynomial is

Read more about this topic:  Characteristic Polynomial

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