107 MATH الجبر الخطي

Linear Algebra Chapter 1: Systems of Linear Equations and Matrices 1.1 Introduction to systems of linear equations 1.2 Gaussian elimination 1.3 Matrices and matrix operations 1.4 Inverse; Rules of matrix arithmetic 1.5 Elementary matrices and a method for finding A-1  1.6 Further results on systems of equations  1.7 Diagonal, triangular and symmetric matrices Chapter 2: Determinants 2.1 The determinant function 2. 2 Evaluating determinants by row reduction 2.3 Properties of the determinant function 2.4 Cofactor expansion; Cramer’s Rule