摘要：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.。Gilbert Strang教授的線性代數課程很多同學都或多或少接觸過，而今，86歲的他在疫情期間錄製了一門6節課的線性代數小課，可以作爲他的線性代數課程的補充材料： A 2020 Vison of Linear Algebra ( 2020新視野下的線性代數) ，課程主頁：。

Gilbert Strang教授的線性代數課程很多同學都或多或少接觸過，而今，86歲的他在疫情期間錄製了一門6節課的線性代數小課，可以作爲他的線性代數課程的補充材料： A 2020 Vison of Linear Algebra ( 2020新視野下的線性代數) ，課程主頁：

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

課程介紹：

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 Algebra ;  Orthogonal Vectors ;  Eigenvalues & Eigenvectors ; and  Singular Values & Singular Vectors . Singular values have become so important and they come directly from the eigenvalues of  A'A .

B站鏈接，點擊閱讀原文直達：

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

也可以關注下方公衆號，回覆" LA2020 "獲取課程視頻和課件網盤資源：

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