Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z. Mark the statements below that must be true. A. Span(y) = Span(w) B. Span(x, y)=Span(w) C. Span(x, z)= Span(y, w) D. Span(x, y) = Span(x, w, z)
Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z. Mark the statements below that must be true. A. Span(y) = Span(w) B. Span(x, y)=Span(w) C. Span(x, z)= Span(y, w) D. Span(x, y) = Span(x, w, z)
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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Transcribed Image Text:Let \( w, x, y, z \) be vectors and suppose \( z = 3x + y \) and \( w = -12x - 3y + 4z \).
Mark the statements below that must be true.
- □ A. \(\text{Span}(y) = \text{Span}(w)\)
- □ B. \(\text{Span}(x, y) = \text{Span}(w)\)
- ☑ C. \(\text{Span}(x, z) = \text{Span}(y, w)\)
- □ D. \(\text{Span}(x, y) = \text{Span}(x, w, z)\)
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What is the answer to this question and explain why
Transcribed Image Text:Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z.
Mark the statements below that must be true.
A. Span(y) = Span(w)
B. Span(x, y)=Span(w)
|C. Span(x, z)= Span(y, w)
JD. Span(x, y) = Span(x, w, z)
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