If the multiplicative group of `2times2` matrices of the form `[[a, a], [a, a]]`, for `ane0 and ainR`, then the inverse of `[[2, 2], [2, 2]]` is

Options

A. `(((1)/(8),(1)/(8)),((1)/(8),(1)/(8)))`
B. `(((1)/(4),(1)/(4)),((1)/(4),(1)/(4)))`
C. `(((1)/(2),(1)/(2)),((1)/(2),(1)/(2)))`
D. Does not exist

Answer

D