admin管理员组

文章数量:1613391

这个系列文章是我重温Gilbert老爷子的线性代数在线课程的学习笔记。
Course Name：MIT 18.06 Linear Algebra
Text Book: Introduction to Linear Algebra
章节内容: 3.6

课程提纲
1. Four fundamental subspaces for matrix A A

课程重点

Four fundamental subspaces for matrix A

The rank of a matrix is the number of pivots. The dimension of a subspace is the number of vectors in a basis.

The main point is that the four dimensions are the same for A A and R.
The dimension of the row space is the rank r r . The nonzero rows of R form a basis.
The dimension of the column space is the rank r r . The pivot columns form a basis.
The nullspace has dimension n−r. The special solutions form a basis.
The nullspace of RT R T (left nullspace of R R ) has dimension m−r.

The big picture

本文标签： 学习笔记Lecturesubspacesfundamental

版权声明：本文标题：MIT18.06学习笔记 - Lecture 10: The four fundamental subspaces 内容由热心网友自发贡献，该文观点仅代表作者本人， 转载请联系作者并注明出处：https://m.elefans.com/xitong/1728643298a1167386.html， 本站仅提供信息存储空间服务，不拥有所有权，不承担相关法律责任。如发现本站有涉嫌抄袭侵权/违法违规的内容，一经查实，本站将立刻删除。