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Unformatted text preview: omogeneous system:
(A − λIn )x = 0.
A value of λ for which this homogenous system has non-trivial
solutions is called an eigenvalue of A.
λ is an eigenvalue of A if and only if
det(A − λIn ) = 0.
We call this the characteristic equation of A.
Its zeros are precisely the eigenvalues of A. Outline The Classical Adjoint A Formula for the Inverse of a Matrix Example Example
Find the eigenvalues of the matrix:
2 −2 Cramer’s Rule Eigenvalues...
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