Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
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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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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