معلومات المقرر

Matrices – Matrices having Special Forms – Matrix Operations-Determinates – Properties of Determinates-Inverse of a Matrix – Inverse of a Matrix using Adjoint Matrix – Elementary row operations- Elementary matrices- Row Equivalence- Inverse of a Matrix by Elementary Row Operations-System of Linear Equations – Echelon Forms – Gauss Elimination – Homogenous System of linear Equations – Solving Linear system of equations using LU- factorization-Vector Space – Subspaces – Linear Independence – Basis and Dimension- Row Space, Column Space and Null Space of a matrix- Rank of a matrix-Inner Product Spaces – Inner Products – Angle and Orthogonality – Orthogonal Bases – Gram-Schmidt Process – Orthogonal Matrices- Fourier Approximation-Eigen Values and Eigen Vectors – Diagonalization - Orthogonal Diagonalization.