theorem :: MATRIX16:10

for n being Element of NAT
for K being Field
for a, b, c being Element of K
for M1, M2, M3 being Matrix of n,K st M1 is line_circulant & M2 is line_circulant & M3 is line_circulant holds
((a * M1) + (b * M2)) + (c * M3) is line_circulant