quare into a parallelogram with vertices at (0, 0), (a, b), (a + c, b + d), and (c, d). The parallelogram pictured at the right is obtained by multiplying A with each of the column vectors [00],[10],[11]{\displaystyle {\begin{bmatrix}0\\0\end{bmatrix}},{\begin{bmatrix}1\\0\end{bmatrix}},{\begin{bmatrix}1\\1\end{bmatrix}}} and [01]{\displaystyle {\begin{bmatrix}0\\1\end{bmatrix}}} in turn. These vectors define the vertices of the unit square. The following table shows a number of 2-by-2 matrices with the associated linear maps of R2. The blue original is mapped to the green grid and shapes, the origin (0,0) is marked with a black point.Horizontal shear with m=1.25.Horizontal flipSqueeze mapping with r=3/2Scaling by a factor of 3/2Rotation by π/6R = 30°[11.2501]{\displaystyle {\begin{bmatrix}1&1.25\\0&1\end{bmatrix}}}[−1001]