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to another row, replacing that row. Row-Echelon and Reduced Row-Echelon Forms These are Row-equivalent forms of a matrix. One can easily solve a system of linear equations when matrices are in one of these forms. Row-Echelon Form A matrix is in row-echelon form when the following conditions are met. If there is a row of gameboy advance pokemon ruby rom advnace, then it is at the bottom of the matrix. The first non-zero element of any row is a one. That element is called the leading one.