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 30 - Similar Matrices and Jordan Form |
After a final discussion of positive definite matrices, we learn about "similar" matrices: B = M-1AM for some invertible matrix M. Square matrices can be grouped by similarity, and each group has a "nicest" representative in Jordan normal form. This form tells at a glance the eigenvalues and the number of eigenvectors.
| References |
| Similar Matrices and Jordan Form Square matrices can be grouped by similarity, and each group has a "nicest" representative in Jordan normal form. Lecture Video and Summary. Suggested Reading. Problem Solving Video. |
Go to the Course Home or watch other lectures: