Matrix Analysis and Application

1. Chap 1: Linear Equations and Matrix
   1. Linear equations
   2. Gaussian elimination
      • Pivot;
      • Triangularize;
      • Back substitution;
      • Coefficient matrix, augmented matrix, row vector & column vector;
      • the meaning of Ai*, A*j;
      • 3 situations of solution existence (under the view of linear equations): 0,1 or infinite;
      • Computational complexity: n^3/3+...;
   3. Gaussian-Jordan Method
   4. Floating number
      • Form: f=± .d1 d2 ... dt * b^n (d1≠0);
      • Roundoff error;