theorem :: MATRIX16:45

for K being Field
for a, b being Element of K
for p, q being FinSequence of K st p is first-line-of-circulant & q is first-line-of-circulant & len p = len q holds
(a * (LCirc p)) + (b * (LCirc q)) = LCirc ((a * p) + (b * q))