theorem Th22: :: ZMATRLIN:22

for V1, V2 being free finite-rank Z_Module
for f1, f2 being Function of V1,V2 st f1 is additive & f1 is homogeneous & f2 is additive & f2 is homogeneous holds
for b1 being OrdBasis of V1 st len b1 > 0 & f1 * b1 = f2 * b1 holds
f1 = f2