Course overview (MAT 343: Applied Linear Algebra at Arizona State University)

1.1 Systems of Linear Equations and Matrices

1.2 Row Echelon Form and Parametric Solutions

1.3 Matrix Arithmetic and the Consistency Theorem

1.4 Matrix Algebra and Inverses

1.5 Elementary Matrices and the LU Decomposition

2.1 The Determinant of a Matrix

2.2 Properties of Determinants