Let x,y,z be (non-zero) vectors and suppose w=−z. If z=−3x−y, then w=3x+y. Using the calculation above, mark the statements below that must be true. A. Span(y, z) = Span(w, y, z) B. Span(x, y) = Span(w, z) C. Span(w, z) = Span(w, x) D. Span(x, z) = Span(w, x, y) E. Span(w, x, z) = Span(x, y, z)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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 Let x,y,z be (non-zero) vectors and suppose w=−z.

If z=−3x−y, then w=3x+y.

Using the calculation above, mark the statements below that must be true.

A. Span(y, z) = Span(w, y, z)
B. Span(x, y) = Span(w, z)
C. Span(w, z) = Span(w, x)
D. Span(x, z) = Span(w, x, y)
E. Span(w, x, z) = Span(x, y, z)

 

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