2. Determine whether the following vectors are linearly dependent in R³: (O)--- ()--C) 1 , = , ez = 0 0 0 1 (a) e₁ = 0 2 ·()· · - () -- () --- () -- () 2 , V = W = (c) u = V= 2 1 1 1 -2 (b) u = (d) u = (-)--(-)--() 2 V= W = 0 6 -3 6
2. Determine whether the following vectors are linearly dependent in R³: (O)--- ()--C) 1 , = , ez = 0 0 0 1 (a) e₁ = 0 2 ·()· · - () -- () --- () -- () 2 , V = W = (c) u = V= 2 1 1 1 -2 (b) u = (d) u = (-)--(-)--() 2 V= W = 0 6 -3 6
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:2. Determine whether the following vectors are linearly dependent in R³:
(O)--- ()--C)
, =
1
, ez =
0
0
0
1
(a) e₁ = 0
2
·()· · - () -- () --- () -- ()
2 , V =
W =
(c) u =
V=
2
1
1
1
-2
(b) u =
(d) u =
(-)--(-) --- ()
2 V=
W = 0
-3
6
6
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