Let T: P3 ----> P4(adsbygoogle = window.adsbygoogle || []).push({});

Im attempting to find the matrix for T relative to the bases B and B'

T maps P3 to P4

[tex]

\begin{array}{l}

T(ax^3 + bx^2 + cx + d) = (3x + 2)(ax^3 + bx^2 + cx + d) \\

B = \{ x^3 ,x^2 ,x,1\} \\

B^' = \{ x^4 ,x^3 ,x^2 ,x,1\} \\

\end{array}

[/tex]

Im able to do these porblems when say T:R3--->R3 and my bases are ordered vectors as a pair, triplets ect. but Im not seeing how to find the image of say X cubed under T. Do I just plug it in? then i get another polynomial, which I would need to write as a linear combination of the base B'?

If someone could show me how to find the image of the first one, T(x^3) I could go on from there.

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# Homework Help: Linear Trans. & Bases

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