# 86岁MIT教授Gilbert Strang的线性代数小课：2020新视野下的线性代数

Gilbert Strang教授的线性代数课程很多同学都或多或少接触过，而今，86岁的他在疫情期间录制了一门6节课的线性代数小课，可以作为他的线性代数课程的补充材料： A 2020 Vison of Linear Algebra ( 2020新视野下的线性代数) ，课程主页：

https://ocw.mit.edu/resources/res-18-010-a-2020-vision-of-linear-algebra-spring-2020

#### 课程介绍：

These six brief videos, recorded in 2020, contain ideas and suggestions from Professor Strang about the recommended order of topics in teaching and learning linear algebra. The first topic is called  A New Way to Start Linear Algebra . The key point is to start right in with the columns of a matrix  A  and the multiplication  Ax  that combines those columns.

That leads to  The Column Space of a Matrix and the idea of independent columns and the factorization  A = CR that tells so much about  A . With good numbers, every student can see dependent columns.

The remaining videos outline very briefly the full course:  The Big Picture of Linear AlgebraOrthogonal VectorsEigenvalues & Eigenvectors ; and  Singular Values & Singular Vectors . Singular values have become so important and they come directly from the eigenvalues of  A’A .

B站链接，点击阅读原文直达：

https://www.bilibili.com/video/BV1sK411W7GU