Answer
a) True
b) False
c) False
d) False
e) False
Work Step by Step
a. True. $Ax=0$ is always consistent since the trivial solution is always a solution to a system.
b. False. The equation Ax = 0 gives an implicit description of its solution set.
entitled Parametric Vector Form.
c. False. The equation Ax = 0 always has the trivial solution.
word nontrivial instead of trivial.
d. False. The line goes through p parallel to v.
e. False. The solution set could be empty