- #1

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## Homework Statement

Write the standard matrix representation T

_{E}for T.

## Homework Equations

[tex]

T\left(ax^3+bx^2+cx+d\right)=(a-b)x^2+(c-d)x+(a+b-c)

[/tex]

## The Attempt at a Solution

[tex]

[T]_E=\left(

\begin{array}{c}

a+b-c \\

c-d \\

a-b \\

0

\end{array}

\right)

[/tex]

I think this is right, but a subsequent problem asks me to show that this matrix is similar to another matrix. Similarity only makes sense for an n x n matrix, so this must be wrong.

Any ideas?