Answers to your questions 02/12/10:
Questions on general topics
1.
On tests or quizzes, would we have to specify which basis, like in the examples on the board? I.e.,
I_V, I_W, etc.
As long as the dimensions are consistent, you don’t have to specify.
2.
Do we need to know only the theorems taught in class?
Yes. The theorems in class should be enough for you to do the problems.
3.
When solving questions about 11 and onto, can they be solved by determining the inequality of
the dim?
Yes.
4.
When solving a problem which asks to compute
[g]
G
±
and
²
is the standard basis, do we need to
write out all of the steps since its going to give the same answer as
[g]
G
?
They don’t have the same answer. If
³
is not the standard basis, you need one more step for
[g]
G
, i.e., transforming the output vectors to basis
³
.
5.
Group isomorphism?
Group isomorphism is a similar concept as the isomorphism for vector spaces, except that
vector space is a somehow stronger concept than group.
Questions for today’s lecture
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 Winter '08
 staff
 Linear Algebra, Algebra, Vector Space, good question

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