i. Is b, e Span (V)? ii. Is b, e Span (V)? iii. Is b3 e Span (V)? iv. Does V span R*?
i. Is b, e Span (V)? ii. Is b, e Span (V)? iii. Is b3 e Span (V)? iv. Does V span R*?
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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*Questions writen below and in Images
- is b1 span of V?
- is b3 span of V?
- is b3 span of V?
- Does V span R5
![• Determine whether or not a vector is in the span of a set of vectors.
• Determine whether or not a set of vectors spans all of R".
(a) Let V, b1, b2, and b3 be as defined below.
102]
141
221
'-131
20
102]
-40
-40
-8
-8
4
-5
-8
-41
-29
-13
5
-41
-9
3
-29
3
45
9.
45
8.
14,
{v1,v2, v3,v4, v5}=
{{102, -40, -41, -29, 45},
-8, -4,
0,
{ 14,
{ -2,
{ 22,
{-13,
-4, 4},
4, 0},
-9, 9},
3, -7}}
6,
-8, -13,
5,
{b1,b2, b3}=
{{102, -40,
-5,
-8,
4,
-41,
{ 5,
{20,
-29, 45},
8},
3,
6, 14}}
3,
8,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9123907a-8746-4d91-90b8-859e0a45c1f5%2F71f39839-a7d8-40b5-9ffe-80c5c243a97d%2Fuldv4p_processed.png&w=3840&q=75)
Transcribed Image Text:• Determine whether or not a vector is in the span of a set of vectors.
• Determine whether or not a set of vectors spans all of R".
(a) Let V, b1, b2, and b3 be as defined below.
102]
141
221
'-131
20
102]
-40
-40
-8
-8
4
-5
-8
-41
-29
-13
5
-41
-9
3
-29
3
45
9.
45
8.
14,
{v1,v2, v3,v4, v5}=
{{102, -40, -41, -29, 45},
-8, -4,
0,
{ 14,
{ -2,
{ 22,
{-13,
-4, 4},
4, 0},
-9, 9},
3, -7}}
6,
-8, -13,
5,
{b1,b2, b3}=
{{102, -40,
-5,
-8,
4,
-41,
{ 5,
{20,
-29, 45},
8},
3,
6, 14}}
3,
8,
Transcribed Image Text:i. Is b, e
Span (V)?
ii. Is b, e Span (V)?
iii. Is bz e Span (V)?
iv. Does V span R°?
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