Row-equivalence is a term used in algebra to describe two matrices that have the same number of rows and columns, and where every row in one matrix can be transformed into the corresponding row in the other matrix using elementary row operations. These operations include interchanging two rows, multiplying a row by a non-zero scalar, or adding a multiple of one row to another. Synonyms for row-equivalence include row-reduction, row-similarity, and row-transformation. These terms all describe the same concept of transforming one matrix into another by applying a series of elementary row operations, which preserves certain properties of the matrix such as its rank and determinant.