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Let $T:\mathbb{R}^4\to\mathbb{R}^3$ be a linear function with the transormation matrix given as: $$A=\begin{pmatrix} -3 & 2 & 3 & -3 \\ 4 & 0 & -4 & 4 \\ 2 & 0 & -2 & 2 \end{pmatrix}$$

relative to the standard basis of $\mathbb{R}^4$ and $\mathbb{R}^3$. Find the basis $\mathcal{V}$ of $\mathbb{R}^4$ and $\mathcal{W}$ of $\mathbb{R}^3$ with $$\mathbb{M}_{\mathcal{V},\mathcal{W}}(T)=\begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{pmatrix}$$

I have managed to find the lineat function $T$ which is given as: $$T(x_1, x_2,x_3,x_4)=\begin{pmatrix} -3x_1+2x_2+3x_3-3x_4 \\ 4x_1-4x_3+4x_4 \\ 2x_1-2x_3+2x_4 \end{pmatrix}$$ But after that I dont know what to do with the matrix $\mathbb{M}_{\mathcal{V},\mathcal{W}}(T)$. Can someone give me a hint? And I have also looked on the internet and I couldn't find anything helpful.

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