标签： MIT 18.06

Schedule Four fundamental subspaces (for matrix A) 4 Subspaces – 4个子空间 假定A为m\times n的矩阵, 与其相关有如下四个子空间: $C(A)$ : co …

Schedule Linear independence Spanning a space Basis and Dimension 该章节中说到的无关性和张成空间均指的是向量组而非矩阵. Independence – 线性无关性 …

Schedule Complete solution of Ax=b Rank r $r=m$ : Solution & Exists $r=n$ : Solution is Unique Complete solution of …

Schedule Computing the null-space (Ax=0) Pivot variable with Free variable Special Solutions — rref(A)=R 这章主要讨论的是长 …

Schedule Vector spaces and Subspaces Column space of A : Solving Ax=b Nullspace of A Vector space requirements – 向 …

Schedule PA=LU Vector Spaces and Subspaces Permutations – 置换矩阵 Permutations P : execute row exchanges. 置换矩阵 P : 用来 …

Schedule Inverse of AB, A^T Product of elementation matrices $A=LU$ (no row exchanges) Inverse of AB, A^T – AB 和 A …

Schedule Matrix Multiplication (4 ways) 矩阵乘法的四种形式 Inverse of A , AB , A^T Gauss-Jordan method to find A^{-1} Matrix Mult …

Introduction 课程代码 : MIT 18.06 课程配套教材 : Introduction to Linear Algebra 课程在线网址 : web.mit.edu/18.06 在线网址里有习题和matlab代码等资源. N …