Difference between revisions of "Singular matrix"

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<!--A '''singular matrix''' is one that has a zero image of a nonzero vector.  It is also a square matrix that does not have an inverse (a ''noninvertible'' matrix).
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A '''singular matrix''' is one that has a zero image of a nonzero vector.  It is also a square matrix that does not have an inverse (a ''noninvertible'' matrix).
  
 
The term "nonsingular matrix" is one whose [[kernel]] is 0.  This type of matrix is invertible.
 
The term "nonsingular matrix" is one whose [[kernel]] is 0.  This type of matrix is invertible.
 
[[Category:linear algebra]]
 
[[Category:linear algebra]]

Revision as of 13:27, November 7, 2012

A singular matrix is one that has a zero image of a nonzero vector. It is also a square matrix that does not have an inverse (a noninvertible matrix).

The term "nonsingular matrix" is one whose kernel is 0. This type of matrix is invertible.