Matrix Analysis and Application

2024-02-03 20:53:34

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;