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16.-Linear-Algebra-by-Kenneth-Hoffman
· Problem 4.4.3
Polynomials
Mathematics — Linear Algebra · annihilating-polynomial-ideal
Problem
Let
A
A
A
be an
n
×
n
n \times n
n
×
n
matrix over a field
F
F
F
. Show that the set of all polynomials
f
f
f
in
F
[
x
]
F[x]
F
[
x
]
such that
f
(
A
)
=
0
f(A) = 0
f
(
A
)
=
0
is an ideal.
Related theory
Ideal And Non Ideal Solutions
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