The matrix is now in row-echelon form. This is also called "triangular form".
ð ə WORD_BOUNDARY m eɪ t ɹ ɪ k s WORD_BOUNDARY ɪ z WORD_BOUNDARY n aʊ WORD_BOUNDARY ɪ n WORD_BOUNDARY ɹ oʊ ɛ ʃ ə l ɑ n WORD_BOUNDARY f ɔ ɹ m WORD_BOUNDARY ð ɪ s WORD_BOUNDARY ɪ z WORD_BOUNDARY ɔ l s oʊ WORD_BOUNDARY k ɔ l d WORD_BOUNDARY t ɹ aɪ æ ŋ ɡ j ʊ l ə ɹ WORD_BOUNDARY f ɔ ɹ m WORD_BOUNDARY