Compute[ T] _{alpha}^{alpha} for the given basis alpha

The following matrix A is the matrix of a linear transformation $T:mathbb{R}^n rightarrow mathbb{R}^n$ with respect to the standard basis.

Compute $left[ T right]_{alpha}^{alpha}$ for the given basis $\alpha$ .

$A=begin{bmatrix}-1&0&0&0\1&2&0&0\0&-1&-1&0\-2&1&0&1end{bmatrix}$

$\alpha=\left\{ (1,0,0,0),\ (1,1,0,0),\ (1,1,1,0),\ (1,1,1,1) \right\}$

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