Definition 7.0.2 A matrix is in reduced row-echelon form when any rows of all zeroes (called zero rows)are at the bottom the leading entry in any other row is a I (a leading 1.or pivot 1) each leading I is further to the right than any leading I's above it any column with a leading I has zeroes in the rest of that column. 0…01*…0*…0…* 00001* 0·* 0…000…001…* 0000.00…0…0 Tongji University】 5/19. Definition 7.0.2 . . A matrix is in reduced row-echelon form when any rows of all zeroes (called zero rows) are at the bottom the leading entry in any other row is a 1 (a leading 1, or pivot 1) each leading 1 is further to the right than any leading 1’s above it any column with a leading 1 has zeroes in the rest of that column. . . . 0. · · ·. 0. 1. ∗. · · ·. 0. ∗. · · ·. 0. · · ·. ∗. 0. · · ·. 0. 0. 0. · · ·. 1. ∗. · · ·. 0. · · ·. ∗. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0. · · ·. 0. 0. 0. · · ·. 0. 0. · · ·. 1. · · ·. ∗. 0. · · ·. 0. 0. 0. · · ·. 0. 0. · · ·. 0. · · ·. 0. .   .   (Tongji University) Linear Algebra 5 / 19