? Let x, y, z be (non-zero) vectors and suppose that z = -4x - 3y and w = 8x + 6y + 4z. Are the following statements true or false? 1. Span(y, z) = Span(w, x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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Let x, y, z be (non-zero) vectors and suppose that z = -4x - 3y and w = 8x + 6y + 4z. Are the following statements true or false?
✓1. Span(y, z) = Span(w, x)
2. Span(x, y, z) = Span(w, y, z)
3. Span(x, y) = Span(w, x, y)
4. Span(w, z) = Span(x, y)
✓5. Span(w, y) = Span(w, z)
Transcribed Image Text:? ? ? ? ? Let x, y, z be (non-zero) vectors and suppose that z = -4x - 3y and w = 8x + 6y + 4z. Are the following statements true or false? ✓1. Span(y, z) = Span(w, x) 2. Span(x, y, z) = Span(w, y, z) 3. Span(x, y) = Span(w, x, y) 4. Span(w, z) = Span(x, y) ✓5. Span(w, y) = Span(w, z)
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