Which of the following subsets in the set R^2×2 is not a group under the usual matrix multiplication operation? (a) {A € R2×2 | det A = 1}.(b) {A R2×2 | det A 0}.(c) {A € R2×2 | AA₁ = I}(d) {A € R²×² | A² = I}(e) { [cos- sinsincos€ R²x² | pЄR}.

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Answered: € {A R2×2 | det A = 1}. {A R2×2 | det A…

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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€ {A R2×2 | det A = 1}. {A R2×2 | det A 0}. {A E R2×2 | AA = I}