Let H = span {v1, V2, U3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R’. Select an Answer v 1. 2 -4 8 U1 = -1 ,U2 = ,U3 = 2 ,V4 = -4 -2 4 -8 Select an Answer v 2. -1 -7 -7 U1 = -3 ,U2 = -5 ,U3 = -2 ,V4 = -3 3 -5 -8 3 Select an Answer 3. -3 -9 24 30 -1 U2 = ,U3 = ,V4 = 10 7 -18 -24
Let H = span {v1, V2, U3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R’. Select an Answer v 1. 2 -4 8 U1 = -1 ,U2 = ,U3 = 2 ,V4 = -4 -2 4 -8 Select an Answer v 2. -1 -7 -7 U1 = -3 ,U2 = -5 ,U3 = -2 ,V4 = -3 3 -5 -8 3 Select an Answer 3. -3 -9 24 30 -1 U2 = ,U3 = ,V4 = 10 7 -18 -24
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:Let H = span {V1, U2, V3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R’.
Select an Answer v
1.
2
-4
8
U1 =
-1
,U2 =
,U3 =
2
,V4 =
-4
-2
4
-8
Select an Answer v 2.
-1
-7
-7
U1 =
-3
,U2 =
-5
,U3 =
-2
,V4 =
-3
3
-5
-8
Select an Answer v
3.
-3
-9
24
30
U1 =
-1
,U2 =
-3
, U3 =
,V4 =
10
7
-18
-24
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