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Kunze Linear Algebra
· Problem 4.4.4
Polynomials
Mathematics — Methods · monic-generator-annihilator-ideal
Problem
Let
F
F
F
be a subfield of the complex numbers, and let
A
=
[
1
−
2
0
3
]
.
A = \begin{bmatrix} 1 & -2 \\ 0 & 3 \end{bmatrix}.
A
=
[
1
0
−
2
3
]
.
Find the monic generator of the ideal of all polynomials
f
f
f
in
F
[
x
]
F[x]
F
[
x
]
such that
f
(
A
)
=
0
f(A) = 0
f
(
A
)
=
0
.
Related theory
Ideal And Non Ideal Solutions
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