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? ? ? ? ? Let x, y, z be (non-zero) vectors and suppose that z = 3x - 3y and w = 6x- -6y - 1z. Are the following statements true or false? 1. Span(w, y) = Span(x, y) 2. Span(w, x) = Span(w, z) ✓3. Span(w, z) = Span(y, z) V 4. Span(w, x, y) = Span(y, z) 5. Span(x,z) Span(w, y, z)

? ? ? ? ? Let x, y, z be (non-zero) vectors and suppose that z = 3x - 3y and w = 6x- -6y - 1z. Are the following statements true or false? 1. Span(w, y) = Span(x, y) 2. Span(w, x) = Span(w, z) ✓3. Span(w, z) = Span(y, z) V 4. Span(w, x, y) = Span(y, z) 5. Span(x,z) Span(w, y, z)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer parts 1-5

? ? ? ? ? Let x, y, z be (non-zero) vectors and suppose that z = 3x - 3y and w = 6x- -6y - 1z. Are the following statements true or false? 1. Span(w, y) = Span(x, y) 2. Span(w, x) = Span(w, z) ✓3. Span(w, z) = Span(y, z) V 4. Span(w, x, y) = Span(y, z) 5. Span(x,z) Span(w, y, z)
Transcribed Image Text:? ? ? ? ? Let x, y, z be (non-zero) vectors and suppose that z = 3x - 3y and w = 6x- -6y - 1z. Are the following statements true or false? 1. Span(w, y) = Span(x, y) 2. Span(w, x) = Span(w, z) ✓3. Span(w, z) = Span(y, z) V 4. Span(w, x, y) = Span(y, z) 5. Span(x,z) Span(w, y, z)
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