Assertion: matrix's row | /r/HasProperty | column
Facets:
value: more precisely
type: DEGREE
Source sentences:
text: In general, if any row (column) of a square matrix is a weighted sum of the other rows (columns), then any of the latter is also a weighted sum of the other rows (columns).
text: It is also possible to consider matrices with infinitely many rows and/or columns even if, being infinite objects, one cannot write down such matrices explicitly.
text: The first element (row 1, column 1) is always a +
text: In general, if any row (column) of a square matrix is a weighted sum of the other rows (columns), then any of the latter is also a weighted sum of the other rows (columns).
text: In general, if any row (column) of a square matrix is a weighted sum of the other rows (columns), then any of the latter is also a weighted sum of the other rows (columns).
text: More precisely, its rows should be columns and its columns should be rows.
text: A square matrix is singular, that is, its determinant is zero, if it contains rows or columns which are proportionally interrelated; in other words, one or more of its rows (columns) is exactly expressible as a linear combination of all or some other its rows (columns), the combination being without a constant term.
text: A square matrix is singular, that is, its determinant is zero, if it contains rows or columns which are proportionally interrelated; in other words, one or more of its rows (columns) is exactly expressible as a linear combination of all or some other its rows (columns), the combination being without a constant term.