True/False Questions If false, give a counterexample or a brief explanation.(a) A solution...

True/False Questions If false, give a counterexample or a brief explanation.

(a) A solution set of a homogeneous system of linear algebraic equations, given by

is a subspace of ℝ4. True or false?

(b) The dimension of is 4. True or false?

(c) A basis for is {[3, 0], [0, 2], [0, 1], [−1, 1]}. True or false?