Overview
The following matrix A is the matrix of a linear transformation [Image unavailable: T:\mathbb{R}^n \rightarrow \mathbb{R}^n] with respect to the standard basis.
Compute [Image unavailable: \left[ T \right]_{\alpha}^{\alpha}] for the given basis [Image unavailable: \alpha].
[Image unavailable: A=\begin{bmatrix} -1&0&0&0\\ 1&2&0&0\\ 0&-1&-1&0\\ -2&1&0&1 \end{bmatrix}]
[Image unavailable: \alpha=\left\{ (1,0,0,0),\ (1,1,0,0),\ (1,1,1,0),\ (1,1,1,1) \right\}]