A: {{1, 2}, {3, 4}}
u = Vector((0, 0), (1, 0))
w = Vector((0, 0), (-0.5, 1))
v = Vector((0, 0), (0, 1))
w1 = ApplyMatrix(A, w)
w1' = ApplyMatrix(A, w1)
w1'' = ApplyMatrix(A, w1')
w1''' = ApplyMatrix(A, w1'')
a = Vector((0, 0), (-0.41597, -0.90938))
b = Vector((0, 0), (0.41597, 0.90938))