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About LinkBacksLet T:be defined by
T=
Find the matrix for T with respect to the bases B = {} and B' = {
}
where
and
,
,
I know that
Tand
T
but i dont know how to do the rest.
next you need to writeOriginally Posted by flaming
Let T:
T
Find the matrix for T with respect to the bases B = {
where
and
,
,
I know that
Tand
T
but i dont know how to do the rest.as a linear combination of
that is,
and
so
and
therefore the matrix you're looking for is:![[T]_B^{B'}=\begin{pmatrix}[T(u_1)]_{B'} & [T(u_2)]_{B'} \end{pmatrix}=\begin{pmatrix}-3 & -3 \\ 3 & 0 \\ 2 & 1 \end{pmatrix}.](http://latex.codecogs.com/png.latex?[T]_B^{B'}=\begin{pmatrix}[T(u_1)]_{B'} & [T(u_2)]_{B'} \end{pmatrix}=\begin{pmatrix}-3 & -3 \\ 3 & 0 \\ 2 & 1 \end{pmatrix}.)
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