Demonstrating the Conceptual Significance of the Matrix Inverse.

Abstract The article reports that intuitive explanations of various matrix algebra concepts, as contrasted to matrix manipulations techniques, may facilitate the accounting student's application of these concepts to real-world Problems; more importantly, his understanding of these problems may be increased. Often diligent study of matrix algebra applications in managerial accounting courses ends only with the mastery of inversion techniques used to solve systems of equations; consequently the full potential of matrix algebra goes unharvested since the appropriate situational interpretation of the matrix inverse remains unexplored. Described herein is an approach to the demonstration of the conceptual significance of the matrix inverse which will enhance the accounting student's ability to apply effectively a fundamental quantitative tool, the matrix inverse. This approach is recommended for use in any managerial accounting course which considers matrix algebra or linear programming. Accounting educators have recognized that accounting curricula objectives must include the development of conceptual understanding as well as the development of procedural skills.