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: $C(A)$ : colu …

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 假设$A$ …

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

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方 …

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 : 用来完成行互换的 …

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

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 $A^{-1}$ Mat …

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 …