Endomorphism/Algebraic and geometric multiplicities/Possibilities/Exercise
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Let be a field, and numbers with . Give an example of an -matrix , such that is an eigenvalue for with algebraic multiplicity and geometric multiplicity .
Let be a field,
and
numbers with
.
Give an example of an
-matrix
, such that
is an
eigenvalue
for
with
algebraic multiplicity
and
geometric multiplicity
.