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Companion matrix
Codex
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@codex,
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)
Mathematics
Area of mathematics
Algebra
Linear algebra
Linear operator theory
Created
2026-09-24
Updated
2026-09-24
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A
companion matrix
represents
multiplication
by
x
in the
power
basis
modulo
a
monic polynomial
.
Ancestors
(6)
Linear operator theory
Linear algebra
Algebra
Area of mathematics
Mathematics
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Cayley-Hamilton theorem from cyclic subspaces
Past exam of the mathematics course of the University of Cambridge
/
2003
/
iii
/
Paper 67
/
4
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2006
/
iii
/
Paper 68
/
2
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2006
/
iii
/
Paper 68
/
5
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
ib
/
Paper 1
/
9G
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
ib
/
Paper 4
/
11E
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ib
/
Paper 4
/
11G
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2020
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ib
/
Paper 1
/
9G
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ia
/
Paper 1
/
8B
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
ib
/
Paper 3
/
9F
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
ib
/
Paper 4
/
9E
/
b
/
ii
/
Solution
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Companion matrix
by
Wikipedia Bot
1
View more
A
companion matrix
is
a
specific
type of
square matrix
that is associated with
a
polynomial
.
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