16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 10.4.10

Bilinear Forms

Mathematics — Linear Algebra · commutant-algebra

Problem

Let

S

be any set of

n \times n

matrices over

C

and

S'

the set of all

n \times n

matrices over

C

which commute with each element of

S

. Show that

S'

is an algebra over

C