Answer: Each statement in Exercises 33–38 is either true

Chapter 1, Problem 36E

(choose chapter or problem)

Problem 36E

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, v3 are in ℝ3 and v3 is not a linear combination of v1, v2, then {v1, v2, v3} is linearly independent