diff --git a/编写小组/试卷/1231线性代数考试卷（解析版）.md b/编写小组/试卷/1231线性代数考试卷（解析版）.md
index 66b54ff..5c0a0d3 100644
--- a/编写小组/试卷/1231线性代数考试卷（解析版）.md
+++ b/编写小组/试卷/1231线性代数考试卷（解析版）.md
@@ -174,10 +174,24 @@ $$A^n = 6^{n-1}\begin{bmatrix}3&-1\\-9&3\end{bmatrix} $$
     $$
     \underline{\qquad\qquad\qquad\qquad}.
     $$
+---
+解析：
+
+一眼顶针，鉴定为：   $$
+   x = (1,0,0,0)^T$$
+---
 
 
 
 11. 
+
+$$
+A^{k} = 0
+$$
+
+$$
+k=     \underline{\qquad\qquad\qquad\qquad}.
+    $$
 12.
     $$
     \underline{\qquad\qquad\qquad\qquad}.