文档介绍:线代知识点总结 CHAPTER 1 Linear Equations in Linear Algebla Matrix augmented matrix ; coefficient matrix Solving a Linear System Replacement ; interchange ; scaling Existence the system is consistent Uniquence T he solution exist and is the only one Definition L eadind entry ; pivot position ; basic variable ; free variable ; back-substitution parametric descriptions of solution sets ( 解集的参数表示) general solution Whenever a system is inconsistent , the solution set is empty , even when the system has free this case, the solution has no parametric representation. THEOREM 1E ach matrix is row equivalent to one and only one reduced echelon matrix THEOREM 2A linear system is consistent if and only if the rightmost column of augmented matrix is not a p