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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

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

Advanced Engineering Mathematics
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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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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