Left and Right Inverses and Pseudo-Inverses
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.
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
- What is a left-inverse?
- What is a right-inverse?
- What is a pseudo-inverse?
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Staff Review
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.
