Show that w is in span(B). B = 162 -{BA-A = We want to solve +643-3 so set up the augmented matrix of the linear system and row-reduce to solve it: Thus C1 1 1 1 1 R₂ - 2R1 2 0 0-2 0-1 0-1 = and C2 = 1 2 Find the coordinate vector [w] B. [w]B= 1 1 0 1 0-1 R1 R2 1 0 0 R3 + R2 0 0 1 0 ☐ ☐ ☐ so that
Show that w is in span(B). B = 162 -{BA-A = We want to solve +643-3 so set up the augmented matrix of the linear system and row-reduce to solve it: Thus C1 1 1 1 1 R₂ - 2R1 2 0 0-2 0-1 0-1 = and C2 = 1 2 Find the coordinate vector [w] B. [w]B= 1 1 0 1 0-1 R1 R2 1 0 0 R3 + R2 0 0 1 0 ☐ ☐ ☐ so that
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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![Show that w is in span(B).
B =
162
-{BA-A
=
We want to solve
+643-3
so set up the augmented matrix of the linear system and row-reduce to solve it:
Thus C1
1
1
1
1
R₂
-
2R1
2
0
0-2
0-1
0-1
=
and C2
=
1 2
Find the coordinate vector [w] B.
[w]B=
1
1
0
1
0-1
R1 R2
1
0
0
R3 + R2
0
0
1
0
☐ ☐ ☐
so that](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3cf874b-7a7b-478f-a7b8-421442e72224%2Fbeffce71-ac97-4574-900a-8a1332278a5a%2Ffq4dd6a_processed.png&w=3840&q=75)
Transcribed Image Text:Show that w is in span(B).
B =
162
-{BA-A
=
We want to solve
+643-3
so set up the augmented matrix of the linear system and row-reduce to solve it:
Thus C1
1
1
1
1
R₂
-
2R1
2
0
0-2
0-1
0-1
=
and C2
=
1 2
Find the coordinate vector [w] B.
[w]B=
1
1
0
1
0-1
R1 R2
1
0
0
R3 + R2
0
0
1
0
☐ ☐ ☐
so that
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