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Consider the following four collections {a} = C1 {a, b} = C2 {a, b, c} = C3 {a, b, c, d} = C4 %3D where 4 -1 b = 1 a = %3D c = %3D 8 ? Among C1, C2, C3, which are linearly independent? What vector would you make d be so that C4 is linearly dependent? Edit View Insert Format Tools Table 12pt v BIUAV ev T?v : Paragraph v

Consider the following four collections {a} = C1 {a, b} = C2 {a, b, c} = C3 {a, b, c, d} = C4 %3D where 4 -1 b = 1 a = %3D c = %3D 8 ? Among C1, C2, C3, which are linearly independent? What vector would you make d be so that C4 is linearly dependent? Edit View Insert Format Tools Table 12pt v BIUAV ev T?v : Paragraph v

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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Consider the following four collections {a} = C1 {a, b} = C2 {a, b, c} = C3 {a, b, c, d} = C4 where 4 a = b =1 с — 2 d 8. Among C1, C2, C3, which are linearly independent? What vector would you maked be so that C4 is linearly dependent? Edit View Insert Format Tools Table 12pt v Paragraph v BIUA v ev T? v ...
Transcribed Image Text:Consider the following four collections {a} = C1 {a, b} = C2 {a, b, c} = C3 {a, b, c, d} = C4 where 4 a = b =1 с — 2 d 8. Among C1, C2, C3, which are linearly independent? What vector would you maked be so that C4 is linearly dependent? Edit View Insert Format Tools Table 12pt v Paragraph v BIUA v ev T? v ...
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