vault backup: 2026-01-17 14:42:43

素材/正交矩阵和施密特正交化法.md

@@ -93,9 +93,8 @@ $$\begin{align*}
 \boldsymbol{u}_k &= \boldsymbol{\alpha}_k - \sum_{i=1}^{k-1}\frac{\langle\boldsymbol{\alpha}_k,\boldsymbol{u}_i\rangle}{\langle\boldsymbol{u}_i,\boldsymbol{u}_i\rangle}\boldsymbol{u}_i,\quad k=2,3,\dots,p.
 \end{align*}$$
 单位化过程
-$$\boldsymbol{\varepsilon}_1 = \frac{\boldsymbol{\alpha}_1}{\|\boldsymbol{\alpha}_1\|}$$
 $$\boldsymbol{\varepsilon}_k = \frac{\boldsymbol{u}_k}{\|\boldsymbol{u}_k\|},\quad 
-k=2,3,\dots,p$$
+k=1,2,3,\dots,p$$
 
 ### **例子**
 >[!example] **例1**