Question: how do I the characteristic equation for a matrix? and how would I determine its eigenvalues and the corresponding eigenvectors? for example, -1 4 -1

how do I the characteristic equation for a matrix? and how would I determine its eigenvalues and the corresponding eigenvectors? for example,

-1 4 -1

0 2 4

0 3 2

I get tossed with lamda and to what extent do I simplify the matrix

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