My matrix is $A=\begin{pmatrix}0 & 0 & -2\\ 1 & 2 & 0 \\ 0 & -2 & 0\end{pmatrix}$
I have to find its eigenvalues and eigenvectors but characteristic polynomial is $3$rd degree and I can't calculate it. Please give a help for it. Thanks.
My matrix is $A=\begin{pmatrix}0 & 0 & -2\\ 1 & 2 & 0 \\ 0 & -2 & 0\end{pmatrix}$
I have to find its eigenvalues and eigenvectors but characteristic polynomial is $3$rd degree and I can't calculate it. Please give a help for it. Thanks.
The eigenvalues of a matrix A are the solutions $\lambda$ to the equation of the form $det(A-\lambda I)$. Det refers to the determinant of the matrix formed by $(A - \lambda I)$ and I is the $n$ x $n$ identity matrix -- this is called the characteristic equation. To find your eigenvalues and eigenvectors just find the solution using $det(A-\lambda I)$. If you need me to elaborate any further just ask.