2. Determine whether the set R2 with the operations (x1, y₁) + (x2, Y2) = (x1x2, 9192) and c(x₁, y) = (cx₁, cy₁) is a vector space. If it is not, find at least one axiom that fails.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Determine whether the set R2 with the operations
(x1, y₁) + (x2, 92) = (x1x2, 9192) and c(x₁, y₁) = (cx₁, cy₁)
is a vector space. If it is not, find at least one axiom that fails.
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Transcribed Image Text:2. Determine whether the set R2 with the operations (x1, y₁) + (x2, 92) = (x1x2, 9192) and c(x₁, y₁) = (cx₁, cy₁) is a vector space. If it is not, find at least one axiom that fails. CS Scanned with CamScanner
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