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Let x, y, z be (non-zero) vectors and suppose w = 12x + 6y + 4z. If z = -2x - y, then w = 4 ✔B. Span(w, y, z) = Span(x, y) c. Span(x, y, z) = Span(w, z) Using the calculation above, mark the statements below that must be true. A. Span(x, z) = Span(y, z) D. Span(w, z) = Span(w, y) x+ E. Span(w, x, y) = Span(w, y) 2 y.

Let x, y, z be (non-zero) vectors and suppose w = 12x + 6y + 4z. If z = -2x - y, then w = 4 ✔B. Span(w, y, z) = Span(x, y) c. Span(x, y, z) = Span(w, z) Using the calculation above, mark the statements below that must be true. A. Span(x, z) = Span(y, z) D. Span(w, z) = Span(w, y) x+ E. Span(w, x, y) = Span(w, y) 2 y.

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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Can you please help me with this question. I solved the first part, but I'm confused about the span stuff. Can you please provide an explanation for each one Thank you! 

Let x, y, z be (non-zero) vectors and suppose w = 12x + 6y + 4z. If z = -2x - y, then w = 4 c. Span(x, y, z) = Span(w, z) D. Span(w, z) = Span(w, y) x+ Using the calculation above, mark the statements below that must be true. A. Span(x, z) = Span(y, z) ✔B. Span(w, y, z) = Span(x, y) E. Span(w, x, y) = Span(w, y) 2 y.
Transcribed Image Text:Let x, y, z be (non-zero) vectors and suppose w = 12x + 6y + 4z. If z = -2x - y, then w = 4 c. Span(x, y, z) = Span(w, z) D. Span(w, z) = Span(w, y) x+ Using the calculation above, mark the statements below that must be true. A. Span(x, z) = Span(y, z) ✔B. Span(w, y, z) = Span(x, y) E. Span(w, x, y) = Span(w, y) 2 y.
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