Matrix Algebra

Matrices and Determinants were discovered and developed in the eighteenth and nineteenth centuries. Initially, their development dealt with transformation of geometric objects and solution of systems of linear equations. Historically, the early emphasis was on the determinant, not the matrix. In modern treatments of linear algebra, matrices are considered first. Matrices provide a theoretically and practically useful way of approaching many types of problems including: Solution of Systems of Linear Equations, Equilibrium of Rigid Bodies (in physics), Graph Theory, Theory of Games, The Leontief Model in Economics, Forest Management, Computer Graphics, and Computer assisted Tomography, Genetics, Cryptography, Electrical Networks, and Fractals.