Let x, y, z be (non-zero) vectors and suppose that z = -2x + 4y and w = 6x - 12y + 1z. Are the following statements true or false?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
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Let x, y, z be (non-zero) vectors and suppose that z =
1. Span(w, y) = Span(x, y, z)
2. Span(x, z) = Span(x, y)
3. Span(w, x) = Span(w, y, z)
4. Span(x, y) = Span(w, Z)
5. Span(w, z) = Span(y, z)
-2x + 4y and w = 6x − 12y + 1z. Are the following statements true or false?
Transcribed Image Text:Let x, y, z be (non-zero) vectors and suppose that z = 1. Span(w, y) = Span(x, y, z) 2. Span(x, z) = Span(x, y) 3. Span(w, x) = Span(w, y, z) 4. Span(x, y) = Span(w, Z) 5. Span(w, z) = Span(y, z) -2x + 4y and w = 6x − 12y + 1z. Are the following statements true or false?
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