The following is an attempt to answer, linearly independent? Why of A = 03 13 2. attempted solution: 21 A = 1³ -9 2 3r₂ +√3 -Fratry 03 3-2 2 -1 1132 r₁=ry 0-12-3r₁ + ry <>ry +r313 73 2 0-1 2 0 0011 0 19/ -103 3211 32 7 13try 0-12 00 11 000 D O 1/ ww-w Are the columns Why not? =A NY 2 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.
The following is an attempt to answer, linearly independent? Why of A = 03 13 2. attempted solution: 21 A = 1³ -9 2 3r₂ +√3 -Fratry 03 3-2 2 -1 1132 r₁=ry 0-12-3r₁ + ry <>ry +r313 73 2 0-1 2 0 0011 0 19/ -103 3211 32 7 13try 0-12 00 11 000 D O 1/ ww-w Are the columns Why not? =A NY 2 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Both parts must be answered
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cb8b695-ab02-4ee2-94ee-3246bb4f875f%2F4f4d0269-6491-4f9e-b0bc-c0f55321ccc3%2F4zrpy6a_processed.jpeg&w=3840&q=75)
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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