Question: True / False Questions: If false, give a counterexample or a brief explanation? (a) A solution set of a homogeneous system of linear algebraic equations,

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 W is 4. True or false?
(c) A basis for W is {[3, 0), [0, 2). [0, 1], [-1, 1]}. True or false?

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