Let H = span {v1, V2, V3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R. Select an Answer v 1. -3 -5 -1 , V2 7 , V3 , V4 3 -2 7 9. 3 Select an Answer 2. -2 -2 -6 -3 , V3 = -3 , V4 = -9 %3D ||

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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Question
Let H
span {v1, v2, V3, v4}. For each of the following sets of vectors determine whether H is a line, plane, or R.
Select an Answer
1.
-3
-5
-1
2
V3
V4
!!
=
-2
7
3
Select an Answer v 2.
-2
-2
-6
, U2 =
, V3
-9
%3D
= va
-2
-2
-6
Select an Answer
3.
3
6
18
-3
, V2 =
-6
, V3 =
-9
, V4 =
-18
7
10
22
Transcribed Image Text:Let H span {v1, v2, V3, v4}. For each of the following sets of vectors determine whether H is a line, plane, or R. Select an Answer 1. -3 -5 -1 2 V3 V4 !! = -2 7 3 Select an Answer v 2. -2 -2 -6 , U2 = , V3 -9 %3D = va -2 -2 -6 Select an Answer 3. 3 6 18 -3 , V2 = -6 , V3 = -9 , V4 = -18 7 10 22
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