Fall 2011 Undergraduate Mathematics Linear Algebra theaters Lecture Videos grading Exams with Solutions notes Lecture Notes theaters Recitation Videos assignment_turned_in Problem Sets with Solutions laptop_windows Simulations groups Course Introduction co_present Instructor Insights search GIVE NOW Browse Course Material
Course Info
Instructor
Departments
As Taught In
Level
Topics
Learning Resource Types
about ocw help & faqs contact us
18.06SC | Fall 2011 | Undergraduate
Unit II: Least Squares, Determinants and Eigenvalues
« Previous | Next »
![Unit II: Least Squares, Determinants and Eigenvalues | Linear Algebra | Mathematics | MIT OpenCourseWare (4) Unit II: Least Squares, Determinants and Eigenvalues | Linear Algebra | Mathematics | MIT OpenCourseWare (4)](https://i0.wp.com/ocw.mit.edu/courses/18-06sc-linear-algebra-fall-2011/8f4d1bf6fe6c33b93070e3efc4cbb7df_Unit_2_WIDE.jpg)
A graph and its edge-node incidence matrix.
Each component of a vector in Rn indicates a distance along one of the coordinate axes. This practice of dissecting a vector into directional components is an important one. In particular, it leads to the “least squares” method of fitting curves to collections of data. This unit also introduces matrix eigenvalues and eigenvectors. Many calculations become simpler when working with a basis of eigenvectors.
The determinant of a matrix is a number characterizing that matrix. This value is useful for determining whether a matrix is singular, computing its inverse, and more.
Looking for something specific in this course? The Resource Index compiles links to most course resources in a single page.
« Previous | Next »
Course Info
Instructor
- Prof. Gilbert Strang
Departments
- Mathematics
As Taught In
Fall 2011
Level
Undergraduate
Topics
Mathematics
-
Linear Algebra
-
Learning Resource Types
theaters Lecture Videos
grading Exams with Solutions
notes Lecture Notes
theaters Recitation Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations
groups Course Introduction
co_present Instructor Insights
© 2001–2024 Massachusetts Institute of Technology
Terms and Conditions
© 2001–2024 Massachusetts Institute of Technology