Gus obrachadh a-mach an eigenvector agus na luachan a 3×3 matrix air-loidhne casan

Air casan a ' cuideachadh dhut obrachadh a-mach eigenvector agus na luachan a 3×3 matrix.

Cuir a-steach an matrix А:
Scalar matrix-diagonal matrix ( Z = c × I ):
|A|:

A ' lorg na matrix:

An degenerate matrix (A - c×I):
|A - c×I|:

Eigenvalue c1:
+
i
Eigenvalue c2:
+
i
Eigenvalue c3:
+
i
c1 ann an eigenvector (x,y,z) luachan:

c2 ann an eigenvector (x,y,z) luachan:

c3 ann an eigenvector (x,y,z) luachan: