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Kernel decomposition for coprime polynomials
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Mathematics
Area of mathematics
Algebra
Linear algebra
Linear operator theory
Minimal polynomial
Created
2026-09-24
Updated
2026-09-29
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If
p
1
,
…
,
p
r
are pairwise
coprime
, then
ker
(
∏
i
p
i
(
A
)
)
=
⨁
i
ker
p
i
(
A
)
.
(1)
Bezout identities
between the factors construct the corresponding projections.
Ancestors
(7)
Minimal polynomial
Linear operator theory
Linear algebra
Algebra
Area of mathematics
Mathematics
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(3)
Distributional regularity of a constant-coefficient ordinary differential equation
Past exam of the mathematics course of the University of Cambridge
/
2013
/
iii
/
Paper 60
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ib
/
Paper 3
/
9F
/
b
/
Solution
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