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Definitions from the Web

Pseudoinverse

Description:

The pseudoinverse, also known as the Moore-Penrose inverse, is a mathematical concept used to generalize the notion of an inverse of a matrix that may not have a true inverse. It is particularly useful in cases where the matrices involved are not square or singular.

Sense 1:

Noun: The pseudoinverse refers to the generalization of the inverse of a matrix that does not have a true inverse.

Example sentence:

In linear algebra, the pseudoinverse of a non-square matrix A is denoted as A⁺ or A^†.

Sense 2:

Adjective: Pseudoinverse describes a matrix that has been precisely inverted using the pseudoinverse operation.

Example sentence:

The pseudoinverse matrix helps to solve systems of linear equations even when the original matrix is singular.