Then, row operations can be done on the augmented matrix to simplify it. The table below shows the row reduction process on the system of equations and on the augmented matrix.
ð ɛ n WORD_BOUNDARY ɹ oʊ WORD_BOUNDARY ɑ p ə ɹ ɹ eɪ ʃ ə n z WORD_BOUNDARY k æ n WORD_BOUNDARY b iː WORD_BOUNDARY d ʌ n WORD_BOUNDARY ɔ n ð ɪ WORD_BOUNDARY ɔ ɡ m ɛ n t ɪ d WORD_BOUNDARY m eɪ t ɹ ɪ k s WORD_BOUNDARY t ə WORD_BOUNDARY s ɪ m p l ɪ f aɪ WORD_BOUNDARY ɪ t WORD_BOUNDARY ð ə WORD_BOUNDARY t eɪ b ə l WORD_BOUNDARY b ɪ l oʊ WORD_BOUNDARY ʃ oʊ z WORD_BOUNDARY ð ə WORD_BOUNDARY ɹ oʊ WORD_BOUNDARY ɹ ɪ d ʌ k ʃ ə n WORD_BOUNDARY p ɹ ɑ s ɛ s WORD_BOUNDARY ɔ n ð ə WORD_BOUNDARY s ɪ s t ə m WORD_BOUNDARY ʌ v WORD_BOUNDARY ɪ k w eɪ ʒ ə n z WORD_BOUNDARY æ n d WORD_BOUNDARY ɔ n ð ɪ WORD_BOUNDARY ɔ ɡ m ɛ n t ɪ d WORD_BOUNDARY m eɪ t ɹ ɪ k s WORD_BOUNDARY