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 Jan9 awarded Supporter Jan6 awarded Commentator Jan6 comment Linear map, polynomial Argghh, how do I type a matrix? Jan6 comment Linear map, polynomial Thx again, could the nullspace be correct now? Is it correct to convert my $T(P(x))$ to the matrix, $\mathbf{T(P(x))}=\begin{bmatrix} 0000\\0010\\0-2-46\\0020\\00012 \end{bmatrix}$ ? Jan6 revised Linear map, polynomial added 159 characters in body Jan6 comment Linear map, polynomial Ok Hagen thx, but what happens to the degree 4 polynomials? They just disappear or do I degrade them somehow? Jan6 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 :) Jan6 asked Linear map, polynomial Jan6 awarded Scholar Jan6 accepted Inner product, smallest distance Jan6 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. Jan6 awarded Editor Jan6 revised Inner product, smallest distance edited body Jan6 comment Inner product, smallest distance Oh no, you are right. I mistyped it :( Ill edit...Thx! Jan6 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. Jan6 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? Jan6 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. Jan6 awarded Student Jan6 comment Inner product, smallest distance Thank you Michael, I will do that! Jan6 asked Inner product, smallest distance