Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Bradley W. Dickinson, Solution of Linear Equations with Rational Toeplitz Matrices, Mathematics of Computation, Vol. 34, No. 149 (Jan., 1980), pp. 227-233 ...

The reflexive and anti-reflexive matrices have wide applications in information theory, linear estimate theory and numerical analysis. In this paper, we will consider the matrix equations (I) A₁XB₁ = ...

Explanation: If a pair of linear equations is consistent the two lines represented by these equations definitely have a solution, this implies that either lines are intersecting or coincident. 4.