Let x, y, z be (non-zero) vectors and suppose w = 2z. If z = 3y – 2x, then w = -4 x+ 6 Using the calculation above, mark the statements below that must be true. A. Span(x, y, z) = Span(w, z) B. Span(x, y, z) = Span(w, y) C. Span(w, y, z) = Span(x, y) D. Span(w, z) = Span(w, y, z) E. Span(x, z) = Span(w, x) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let x, y, z be (non-zero) vectors and suppose w = 2z.
If z = 3y – 2x, then w = -4
x+ 6
у.
Using the calculation above, mark the statements below that must be true.
A. Span(x, y, z) = Span(w, z)
B. Span(x, y, z) = Span(w, y)
C. Span(w, y, z) = Span(x, y)
D. Span(w, z) = Span(w, y, z)
E. Span(x, z) = Span(w, x)
0000
Transcribed Image Text:Let x, y, z be (non-zero) vectors and suppose w = 2z. If z = 3y – 2x, then w = -4 x+ 6 у. Using the calculation above, mark the statements below that must be true. A. Span(x, y, z) = Span(w, z) B. Span(x, y, z) = Span(w, y) C. Span(w, y, z) = Span(x, y) D. Span(w, z) = Span(w, y, z) E. Span(x, z) = Span(w, x) 0000
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