Abstract
Linear difference equations with constant coefficients have been used for many years in various disciplines, and a general method of solution has become well known. In this paper an alternative general solution is presented; a statement of the linear difference equations system in terms of linear vector spaces then follows naturally from the alternative solution. The special case of the second-order linear difference equation is considered first, not merely because it is a simple case but also because it is a form which has many applications in the social sciences, especially in economics and psychology. 1. The Second-Order Linear Difference Equation.-The homogen-ous portion of the second-order linear difference equation
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