But wait â reconsider: âinvariant under $90^\circ$ rotationâ means $ R\mathbfv = \mathbfv $, which we solved gives $ x = -y $ and $ x = y \Rightarrow x = 0, y = 0 $. So only trivial fixed vector. - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

$But wait â reconsider: âinvariant under $90^\circ$ rotationâ means $ R\mathbf{v} = \mathbf{v} $, which we solved gives $ x = -y $ and $ x = y \Rightarrow x = 0, y = 0 $. So only trivial fixed vector.$

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