## Elementary Linear Algebra 7th Edition

(a) This is false. If we look at the geometrical interpretation, the intersection can occur (if it occurs) either at a single point or at infinitely many points (for example in a line) but it can never occur at two isolated points. (b) This is true by definition of equivalence of two system of linear equations. (c) This is false. For example the system \begin{align*} x+y=3\\ x-y=1\\ 2x-3y = 1 \end{align*} has the solution $x=2$ and $y=1$.