Each statement in Exercises 33–38 is either true (in all cases) or false (for at least one example). If false, construct a specific example to show that the statement is not always true. Such an example is called a counterexample to the statement. If a statement is true, give a justification. (One specific example cannot explain why a statement is always true. You will have to do more work here than in Exercises 21 and 22.)
If v1,…, v2 are in ℝ4 and v3 = 2v1 + v2, then {v1 + v2 + v3 + v4} is linearly dependent.
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