Just to expand on Ren's words, this T is not a linear transformer because any linear transformer T must satisfy T(0) = 0 (consider this 0 as the zero vector). Yet T((0,0)) here gives (1,1) and it's not a linear transformer.
Just to expand on Ren's words, this T is not a linear transformer because any linear transformer T must satisfy T(0) = 0 (consider this 0 as the zero vector). Yet T((0,0)) here gives (1,1) and it's not a linear transformer.