Characteristic Polynomial,
Eigenspace
The solution space of is called the eigenspace of
associated with the eigenvalue
. The eigenspace is denoted by
.
Sum/Product of Eigenvalues
– The sum of all eigenvalues of (including repeated eigenvalues) is the same as
(trace of
, i.e. the sum of diagonal elements of
)
– The product of all eigenvalues of (including repeated eigenvalues) is the same as
.
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