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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