HansDeKling
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 Jan 9 awarded Supporter Jan 6 awarded Commentator Jan 6 comment Linear map, polynomial Argghh, how do I type a matrix? Jan 6 comment Linear map, polynomial Thx again, could the nullspace be correct now? Is it correct to convert my $T(P(x))$ to the matrix, $\mathbf{T(P(x))}=\begin{bmatrix} 0000\\0010\\0-2-46\\0020\\00012 \end{bmatrix}$ ? Jan 6 revised Linear map, polynomial added 159 characters in body Jan 6 comment Linear map, polynomial Ok Hagen thx, but what happens to the degree 4 polynomials? They just disappear or do I degrade them somehow? Jan 6 comment Linear map, polynomial Im sry, I dont understand endomorphism. The expression of T is as its written in the questionaire. But I realize now that it does produce degree 4 polynomials, which doesnt lie in our vectorspace. How should I interpret that? Ill look up endomorphism :) Jan 6 asked Linear map, polynomial Jan 6 awarded Scholar Jan 6 accepted Inner product, smallest distance Jan 6 comment Inner product, smallest distance Thx! I realize now that this wasn't the type of exercise I wanted to ask about. Although, Ive learned sth new! Satisfied. Jan 6 awarded Editor Jan 6 revised Inner product, smallest distance edited body Jan 6 comment Inner product, smallest distance Oh no, you are right. I mistyped it :( Ill edit...Thx! Jan 6 comment Inner product, smallest distance Aha ok, I had no idea. Never seen a forum in this format before. I appreciate your answer, but Ill wait and see then. The thing is, I believe that some of the questions of this type on my exam will be in such a form that I cant use your solution, so I need some more answers :) Thx again for replying, and telling me about the system of this site. Jan 6 comment Inner product, smallest distance What I meant by the matrix of the polynomial was, $(x,y)\begin{bmatrix} 2,1 \\ 1,3 \end{bmatrix}(x,y)^t$. Perhaps I cant say that this is a matrix of a polynomial? Jan 6 comment Inner product, smallest distance Thx Eric, I didnt think about the fact that $\mathbf{x}=\begin{bmatrix} x \\ 1-x \end{bmatrix}$. This was a much neater way to do it. Jan 6 awarded Student Jan 6 comment Inner product, smallest distance Thank you Michael, I will do that! Jan 6 asked Inner product, smallest distance