An anthropologist analyzing ritualistic patterns models transformations in sacred geometry using linear maps. They seek a matrix \(\mathbf{M}\) such that for any vector \(\mathbf{v}\), the transformation \(\mathbf{M}\mathbf{v}\) rotates \(\mathbf{v}\) by \(90^\circ$ counterclockwise and then scales it by a factor of 2. Find \(\mathbf{M}\).

Fri, 01 May 2026 16:49:22 +0000

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