Singular

An $m \times n$ matrix with entries from a field is called singular if its rows or columns are linearly dependent. This is equivalent to the following conditions:

If = this is equivalent to the following conditions:

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Other names:

non-invertible, singular transformation

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Cross-references: rank, determinant, solution, linear system, homogeneous, greater than zero, nullity, equivalent, linearly dependent, columns, rows, field, matrix
There are 30 references to this entry.

This is version 7 of singular, born on 2001-11-12, modified 2006-09-04.
Object id is 758, canonical name is Singular.
Accessed 13505 times total.

Classification:

AMS MSC:	15A12 (Linear and multilinear algebra; matrix theory :: Conditioning of matrices)
	65F35 (Numerical analysis :: Numerical linear algebra :: Matrix norms, conditioning, scaling)

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