a. u + v=v+u b. (u + v) + w = u + (v + w) C. U+0=u d. u + (-u) = 0 e. c(u + v) = cu + cv f. (c + d)ucu + du g. c(du) = (cd)u h. 1u - u Commutativity Associativity Distributivity Distributivity nplify the given vector expression. Indicate which properties in the theorem 3(a - 5b) + 5(3b + a) a − 5b) + 5(3b + a) = (3a − 15b) + (15b + 5a) - (3a + 5a) + (15b − 15b) = 8a properties a. and c. ✔ properties a. and f.
a. u + v=v+u b. (u + v) + w = u + (v + w) C. U+0=u d. u + (-u) = 0 e. c(u + v) = cu + cv f. (c + d)ucu + du g. c(du) = (cd)u h. 1u - u Commutativity Associativity Distributivity Distributivity nplify the given vector expression. Indicate which properties in the theorem 3(a - 5b) + 5(3b + a) a − 5b) + 5(3b + a) = (3a − 15b) + (15b + 5a) - (3a + 5a) + (15b − 15b) = 8a properties a. and c. ✔ properties a. and f.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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