row equivalence

English - English

Definition of row equivalence in English English dictionary

In linear algebra, two matrices are row equivalent if one can be changed to the other by a sequence of elementary row operations. Alternatively, two m × n matrices are row equivalent if and only if they have the same row space. The concept is most commonly applied to matrices that represent systems of linear equations, in which case two matrices are row equivalent if and only if the corresponding systems have the same information content

A relation between two matrices of the same size, such that every row of one matrix is a linear combination of the rows of the other matrix, and vice versa. It is an equivalence relation

Hyphenation

row eq·ui·va·lence

Turkish pronunciation

rō îkwîvılıns

Pronunciation

/ˈrō əˈkwəvələns/ /ˈroʊ ɪˈkwɪvələns/