Show that w is in span(). We want to solve Thus C₁ B= 003 E so set up the augmented matrix of the linear system and row-reduce to solve it: = [w] = 1 1 2 1 2 0 0 -1 W Find the coordinate vector [w]g. R₂ 16 and ₂ = - 2R, R₁ - R₂ R₂ + R₂ 1 1 0-2 0-1 1 0 0 1 0 1 0 0 so that E-01-11-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Question
Show that w is in span().
We want to solve
Thus C₁
B=
003
E
so set up the augmented matrix of the linear system and row-reduce to solve it:
=
[w] =
1
1
2
1
2 0
0 -1
W
Find the coordinate vector [w]g.
R₂
16
and ₂ =
- 2R,
R₁ - R₂
R₂ + R₂
1 1
0-2
0-1
1
0
0
1
0
1
0 0
so that
E-01-11-
Transcribed Image Text:Show that w is in span(). We want to solve Thus C₁ B= 003 E so set up the augmented matrix of the linear system and row-reduce to solve it: = [w] = 1 1 2 1 2 0 0 -1 W Find the coordinate vector [w]g. R₂ 16 and ₂ = - 2R, R₁ - R₂ R₂ + R₂ 1 1 0-2 0-1 1 0 0 1 0 1 0 0 so that E-01-11-
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