1. For each of the following statements indicate if it
is true or false. If the answer is
false, briefly explain why.
(a) (2 points) Let V be a vector space and consider the subspace W
= Span{v1, v2, v3, v4}.
If v1 = 2v2 + v3, then {v2, v3, v4} is a basis for W.
(b) (2 points) If A and B are invertible n × n matrices, then A is
row equivalent to B.
(c) (2 points) Let...