# Finding Matrix of a linear operator respecting a basis

### Finding Matrix of a linear operator respecting a basis

If fi(the greek letter... a linear operator) belongs to Hom(R3) and has in respect to E(the standard basis of R3) has a matrix matrix $f= \begin{matrix} 1 & 3 & 0 \\ 0 & 1 & 0 \\ 3 & 5 & 3 \\ \end{matrix}$ , Find the matrix J of fi respecting the basis A.
$A=\{{a_1=(9,0,9),a_2=(0,3,5),a_3=(3,-3,-1)}\}$

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