Chapter 2: Q21Q (page 93)
If the equation \[Gx = y\] has more than one solution for some y in \[{\mathbb{R}^{\bf{n}}}\] , can the columns of G span \[{\mathbb{R}^{\bf{n}}}\]? Why or why not?
Short Answer
The columns of G do not span \[{\mathbb{R}^n}\] because G is not invertible.