Solution Found!
Let W be the union of the first and third quadrants in the
Chapter 4, Problem 2E(choose chapter or problem)
QUESTION:
Let W be the union of the first and third quadrants in the xy-plane. That is, let a. If u is in W and c is any scalar, is cu in W ? Why?b. Find specific vectors u and v in W such that u + v is not in W . This is enough to show that W is not a vector space.
Questions & Answers
QUESTION:
Let W be the union of the first and third quadrants in the xy-plane. That is, let a. If u is in W and c is any scalar, is cu in W ? Why?b. Find specific vectors u and v in W such that u + v is not in W . This is enough to show that W is not a vector space.
ANSWER:Solution 2EStep 1 of 2Consider the vector : a) If is in , then the vector is in .since, .