On the -Pell and -Pell–Lucas sequences and their matrix representations

In this paper, we first give new generalizations for ( s , t ) -Pell { p n ( s , t ) } n ∈ N and ( s , t ) -Pell Lucas { q n ( s , t ) } n ∈ N sequences for Pell and Pell–Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of { p n ( s , t ) } n ∈ N and { q n ( s , t ) } n ∈ N . Then we investigate their properties.