Dada la matriz \(\it A\in \mathbb R^{3\times 4}\), el vector \(\it {\bf b}\in\mathbb R^4\), \(\it a\in \mathbb R\) y el subespacio \(\it F\) de \(\it \mathbb R^4\), $$\it A=\left( \begin{array}{r} -1 & 2 & 0 \\ 0 & 1 & -1 \\ -1 & 1 & -1 \\ 0 & 1 & -1\end{array}\right ), {\bf...