Exercise 5

Suppose that $$A=\left[\begin{array}{rrr} 1 & 0 & 2 \\ 2 & 2 & 2 \\ -1 & -3 & 1 \end{array}\right]$$.

1. Describe the solution space to the equation $A\xvec = \zerovec$.

2. Find a $3\times2$ matrix $B$ with no zero entries such that $AB = 0$.