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In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers. Then the generating function, Binet formula and some basic properties and sum formulas are examined. [ABSTRACT FROM AUTHOR]

In this paper, the bi-periodic Jacobsthal Lucas sequence will be carried to matrix algebra. The terms of the bi-periodic Jacobsthal Lucas matrix sequence are the bi-periodic Jacobsthal Lucas numbers. By studying the properties of this matrix sequence, the well-known Simpson's formula, generating function as well as the Binet formula are investigated. Some new properties and two summation formulas for this new generalized matrix sequence are also obtained. [ABSTRACT FROM AUTHOR]