Left and Right Inverses and Pseudo-Inverses

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Taught by OCW
  • Currently 4.0/5 Stars.
4850 views | 1 rating
Lesson Summary:

This lesson covers the different types of inverses of matrices, including left and right inverses and pseudo-inverses. The instructor explains the cases where a matrix has a perfect inverse, a left inverse or a right inverse, and the corresponding null spaces for each case. The pseudo-inverse is introduced as a more general type of inverse for matrices that don't fit into the previous categories. Overall, the lesson provides a comprehensive overview of matrix inverses and their properties.

Lesson Description:

Left and Right Inverses and Pseudo-Inverses -- Lecture 33. Learn about different types of inverses of matrices.

Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 23, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms

Questions answered by this video:
  • What is a left-inverse?
  • What is a right-inverse?
  • What is a pseudo-inverse?
  • Staff Review

    • Currently 4.0/5 Stars.
    A great ending lecture to a Linear Algebra course, this video explains different inverses of matrices in a wrap up of the most fundamental ideas of Linear Algebra.