冰芹的 Notes

Echelon Form

创建于 2026-04-18T12:55:20

[!info] Echelon Form

pivot(主元): The first non-zero entry of a row
- 全零行一定在最后
- 下面的pivot一定在上面的pivot右边
- pivot下面都是0
!454x177

[!NOTE] Reduced Echelon Form
• 每个pivot都是1
• 每个pivot都是一列中唯一的非零数字
!483x172

[!tip]
Each Matrix is row equivalent to one and only one reduced echelon matrix