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Notice that, in the above
text, we always considered polynomials
in indeterminates
. We will be considering
matrices
or operators with names such as
T, U, , , , etc.
If we continue to use a's and x's
for the
indeterminates, then,
in practice, one would be
required to keep track of some not-so-easily-rememberable
bijection between the indeterminates and matrices such as
the bijection define by setting
, ,
, etc.
Instead we have chosen
to use the same name
(or a similar name) for the indeterminate and the
corresponding matrix.
Helton
Wed Jul 3 10:27:42 PDT 1996