Rotate, reflect and interpret fixed points and area
Find the 2×2 matrix of the anticlockwise rotation through θ about the origin, acting on coordinate columns
\[\cos\theta=\frac{4}{5},\quad\sin\theta=\frac{3}{5},\quad0\le\theta<2\pi\]
Find the 2×2 matrix of the anticlockwise rotation through θ about the origin, acting on coordinate columns