Let x, y, z be (non-zero) vectors and suppose w = 5x – 15y – 3z. If z = x – 3y, then w = 2 x+ -6 y. Using the calculation above, mark the statements below that must be true. O Span(w, z) = Span(x, y, z) Span(w, x) = Span(w, z)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let x, y, z be (non-zero) vectors and suppose w = 5x – 15y – 3z.
If z = x – 3y, then w = 2
x+ -6
y.
Using the calculation above, mark the statements below that must be true.
O Span(w, z) = Span(x, y, z)
Span(w, x) = Span(w, z)
Transcribed Image Text:Let x, y, z be (non-zero) vectors and suppose w = 5x – 15y – 3z. If z = x – 3y, then w = 2 x+ -6 y. Using the calculation above, mark the statements below that must be true. O Span(w, z) = Span(x, y, z) Span(w, x) = Span(w, z)
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