Solution Found!
Answer: cises 33–38 is either true (in all cases) or false
Chapter 1, Problem 35E(choose chapter or problem)
PROBLEM 35EEach 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 and v2 are in ?4 and v2 is not a scalar multiple of v1,then {v1, v2} is linearly independent.
Questions & Answers
QUESTION:
PROBLEM 35EEach 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 and v2 are in ?4 and v2 is not a scalar multiple of v1,then {v1, v2} is linearly independent.
ANSWER:Solution Step 1:Ginen and is not scalar multiple of