  In this paper, we bring into light the matrix representation of bi-periodic
Jacobsthal sequence, which we shall call the bi-periodic Jacobsthal Matrix
sequence.. We obtained the nth general term of this new matrix sequence. By
studying the properties of this new matrix sequence, the well-known Cassini or
Simpson's formula was obtained. We then proceeded to find its generating
function as well as the Binet formula. Some new properties and two summation
formulas for this new generalized matrix sequence are also given. Keywords:
Bi-periodic Jacobsthal sequence; Generating function; Binet formula.
