{A R2×2 | A² = I} {[ cos-sin [cos - sin ER2×2 | ER}. sin cos ]
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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Question
Which of the following subsets in the set R^2×2 is not a group under the usual matrix multiplication operation? Solve (d) and (e)
Transcribed Image Text:(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
- sin
sin
cos
€ R²x² | pЄR}.
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