Tema 6

Construya, de ser posible, una transformación lineal T:\mathbb{R}^3 \longrightarrow M_{2\times 2}(\mathbb{R}) que cumpla con:\begin{aligned}T(-2,2,-1) &= \begin{pmatrix} \begin{array}{rr} 2&0\\1&-2 \end{array} \end{pmatrix} \\ T(-2,1,2) &= \begin{pmatrix} \begin{array}{rr} 2&1\\-3&-5 \end{array} \end{pmatrix} \\ T(0,1,-3) &= \begin{pmatrix} \begin{array}{rr} 0&-1\\4&3 \end{array} \end{pmatrix} \\ T(1,-1,0) &= \begin{pmatrix} \begin{array}{rr} 4&-2\\1&0 \end{array} \end{pmatrix} \end{aligned}