(a) Is the set {u, v, w} linearly independent? Why or why not? (b) Find a vector y that is not in the span of u, v, and w. (c) Show that z = [5.5, 10, 4, 5]" is in the span of u, v, and w.

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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(a) Is the set {u, V, w} linearly independent? Why or why not?
(b) Find a vector y that is not in the span of u, v, and w.
(c) Show that z =
[5.5, 10, 4, 5]2 is in the span of u, v, and w.
(d) Do the vectors u, v, w, and y form a basis for R*? Why or why not?
(e) Do the vectors u, v, w, and z form a basis for R*? Why or why not?
Transcribed Image Text:(a) Is the set {u, V, w} linearly independent? Why or why not? (b) Find a vector y that is not in the span of u, v, and w. (c) Show that z = [5.5, 10, 4, 5]2 is in the span of u, v, and w. (d) Do the vectors u, v, w, and y form a basis for R*? Why or why not? (e) Do the vectors u, v, w, and z form a basis for R*? Why or why not?
Consider the vectors
4
4
U =
v =
W =
-2
Transcribed Image Text:Consider the vectors 4 4 U = v = W = -2
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