An anthropologist analyzing ritualistic patterns models transformations in sacred geometry using linear maps. They seek a matrix \(\mathbfM\) such that for any vector \(\mathbfv\), the transformation \(\mathbfM\mathbfv\) rotates \(\mathbfv\) by \(90^\circ$ counterclockwise and then scales it by a factor of 2. Find \(\mathbfM\). - Network4