Determine the dimension of the span of each set. 6 3 12 - A = span ({0}) 2 - -1 4 20 10 40 dim (A) = 3 5 B = span (E)-88)) 1 1 2 3 dim (B) = C = span (EIBE)) 1 0 3 1 0 3 dim (C) =
Determine the dimension of the span of each set. 6 3 12 - A = span ({0}) 2 - -1 4 20 10 40 dim (A) = 3 5 B = span (E)-88)) 1 1 2 3 dim (B) = C = span (EIBE)) 1 0 3 1 0 3 dim (C) =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 26E: Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.
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Transcribed Image Text:Determine the dimension of the span of each set.
6
3
12
-
A = span
({0})
2
-
-1
4
20
10
40
dim (A) =
3
5
B = span
(E)-8-8))
1
1
2
3
dim (B) =
Cspan
(E-BE))
1
0
3
1
0
3
dim (C) =
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