EECS20N: Signals and Systems

Multidimensional Linear Functions

A function f: RealsN → RealsM is linear if it has the form

f(x) = Ax

for some M × N matrix A.

Still more interestingly, f: RealsN × RealsM → RealsK is linear if it has the form

f(s, x) = Cs + Dx

for some K × N matrix C and K × M matrix D.