  In this paper, we introduce the bi-periodic Lucas matrix sequence and present
some fundamental properties of this generalized matrix sequence. Moreover, we
investigate the important relationships between the bi-periodic Fibonacci and
Lucas matrix sequences. We express that some behaviours of bi-periodic Lucas
numbers also can be obtained by considering properties of this new matrix
sequence. Finally, we say that the matrix sequences as Lucas, $k$-Lucas and
Pell-Lucas are special cases of this generalized matrix sequence.
