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Let x, y, z be (non-zero) vectors and suppose that z = -1x - 2y and w = -4x - 8y – 2z. Are the following statements true or false? ? ? ? ? î 1. Span(x, z) = Span(w, x, y) 2. Span(w, y) = Span(w, z) 3. Span(w, y, z) = Span(w, x, z) 4. Span(y, z) = Span(w. x)

Let x, y, z be (non-zero) vectors and suppose that z = -1x - 2y and w = -4x - 8y – 2z. Are the following statements true or false? ? ? ? ? î 1. Span(x, z) = Span(w, x, y) 2. Span(w, y) = Span(w, z) 3. Span(w, y, z) = Span(w, x, z) 4. Span(y, z) = Span(w. x)

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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Problem 2. Let x, y, z be (non-zero) vectors and suppose that z = -1x - 2y and w = 4x - 8y 2z. Are the following statements true or false? ? ? ? ? ? - 1. Span(x, z) = Span(w, x, y) 2. Span(w, y) = Span(w, Z) 3. Span(w, y, z) = Span(w, x, z) 4. Span(y, z) = Span(w, x) 5. Span(w, z) = Span(x, y)
Transcribed Image Text:Problem 2. Let x, y, z be (non-zero) vectors and suppose that z = -1x - 2y and w = 4x - 8y 2z. Are the following statements true or false? ? ? ? ? ? - 1. Span(x, z) = Span(w, x, y) 2. Span(w, y) = Span(w, Z) 3. Span(w, y, z) = Span(w, x, z) 4. Span(y, z) = Span(w, x) 5. Span(w, z) = Span(x, y)
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