Let x, y, z be (non-zero) vectors and suppose w = 12x + 8y + 2z. If z = -3x - 2y, then w x+ y. Using the calculation above, mark the statements below that must be true. JA. Span(x, y, z)= Span(w, x) B. Span(w, z) = Span(w, x) C. Span(x, y) = Span(w, z) D. Span(x, z) = Span(x, y) E. Span(w, x, z)= Span(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 = 12x + 8y + 2z.
If z=-3x - 2y, then w=x+y
Using the calculation above, mark the statements below that must be true.
JA. Span(x, y, z)= Span(w, x)
B. Span(w, z) = Span(w, x)
C. Span(x, y) = Span(w, z)
D. Span(x, z) = Span(x, y)
E. Span(w, x, z)= Span(y, z)
y.
Transcribed Image Text:Let x, y, z be (non-zero) vectors and suppose w = 12x + 8y + 2z. If z=-3x - 2y, then w=x+y Using the calculation above, mark the statements below that must be true. JA. Span(x, y, z)= Span(w, x) B. Span(w, z) = Span(w, x) C. Span(x, y) = Span(w, z) D. Span(x, z) = Span(x, y) E. Span(w, x, z)= Span(y, z) y.
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