The following is an attempt to answer, 13 2 1 linearly independent? Why or of A = attempted solution: 132 A = 1 ³ ² 2 r₁=r₁ / 0-12-3r₁ + ry

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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Question
The following is an attempt to answer,
linearly independent? Why
32
A =
-1
3r₂ +r3
-Fratry
attempted solution:
A = 1³ 9 2
-1
3 21
2
-
13 2
-
03
32/
32
0
3
0
132
r₁=r₁0-12-3r₁ + ry Gry
-103
321
₁+√3413
3-2
-1 2
0011
0 19/
32
12 √₂+ry 0-12
0 0 11
0
1/
13
Are the columns
Why not?
=A
2
2
D
03
0-7-5
There are no free variables because they're all pivot columps.
So its linearly independent.
Identify all mistakes in the attempt above.
Determine if columns of A are linearly independent,
justifying answer as detailed as possible.
Transcribed Image Text:The following is an attempt to answer, linearly independent? Why 32 A = -1 3r₂ +r3 -Fratry attempted solution: A = 1³ 9 2 -1 3 21 2 - 13 2 - 03 32/ 32 0 3 0 132 r₁=r₁0-12-3r₁ + ry Gry -103 321 ₁+√3413 3-2 -1 2 0011 0 19/ 32 12 √₂+ry 0-12 0 0 11 0 1/ 13 Are the columns Why not? =A 2 2 D 03 0-7-5 There are no free variables because they're all pivot columps. So its linearly independent. Identify all mistakes in the attempt above. Determine if columns of A are linearly independent, justifying answer as detailed as possible.
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