18.06SC Linear Algebra
18.06SC Linear Algebra (Fall 2011, MIT OCW). Taught by Prof. Gilbert Strang, this course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include: a complete set of lecture videos, summary notes, problem solving videos, and a full set of exams and solutions. (from ocw.mit.edu)
| Lecture 34 - Left and Right Inverses; Pseudoinverse |
We'd like to be able to "invert A" to solve Ax = b, but A may have only a left inverse or right inverse (or no inverse). This discussion of how and when matrices have inverses improves our understanding of the four fundamental subspaces and of many other key topics in the course.
| References |
| Left and Right Inverses; Pseudoinverse We'd like to be able to "invert A" to solve Ax = b, but A may have only a left inverse or right inverse (or no inverse). Lecture Video and Summary. Suggested Reading. Problem Solving Video. |
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