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Suppose a 2 F, v 2 V, and av D 0. Prove that a D 0 or v D 0
Chapter 1, Problem 2(choose chapter or problem)
QUESTION:
Suppose a 2 F, v 2 V, and av D 0. Prove that a D 0 or v D 0.
Questions & Answers
QUESTION:
Suppose a 2 F, v 2 V, and av D 0. Prove that a D 0 or v D 0.
ANSWER:Step 1 of 3
If , then we immediately have our result.
So suppose . Then, because is some nonzero real or complex number, it has a multiplicative inverse .