1. Define the vectors u and 7 as below, *= [3] B (a) Show that the vectors form a linearly independent set. (b) Define a third vector w - B V = Do the vectors , 7 and w form a linearly independent set? Show an argument to prove linear independence, or if linearly dependent provide scalars that illustrate a dependence relation. (c) Does span {ū, v. w} span { v, w}?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Define the vectors and 7 as below,
- H
(a) Show that the vectors form a linearly independent set.
(b) Define a third vector w = 3
ū=
V =
Do the vectors , 7 and w form a linearly independent set? Show an argument to prove linear independence, or
if linearly dependent provide scalars that illustrate a dependence relation.
(c) Does span {u, v, w} = span { v, w}?
Transcribed Image Text:1. Define the vectors and 7 as below, - H (a) Show that the vectors form a linearly independent set. (b) Define a third vector w = 3 ū= V = Do the vectors , 7 and w form a linearly independent set? Show an argument to prove linear independence, or if linearly dependent provide scalars that illustrate a dependence relation. (c) Does span {u, v, w} = span { v, w}?
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