diff --git a/linear-algebra/exercise/3-vector/vector.pdf b/linear-algebra/exercise/3-vector/vector.pdf
index bb67b5e..5e37410 100644
Binary files a/linear-algebra/exercise/3-vector/vector.pdf and b/linear-algebra/exercise/3-vector/vector.pdf differ
diff --git a/linear-algebra/exercise/3-vector/vector.tex b/linear-algebra/exercise/3-vector/vector.tex
index ff9afcb..b59d765 100644
--- a/linear-algebra/exercise/3-vector/vector.tex
+++ b/linear-algebra/exercise/3-vector/vector.tex
@@ -214,4 +214,5 @@ $r(A)=r(B)=r(A|B)$，所以需要计算三个向量组构成的矩阵的秩就
 
 $\therefore\xi=A(x_1,x_2,x_3)^T=B(1,0,2)^T$，$(x_1,x_2,x_3)^T=A^{-1}B(1,0,2)^T$。
 
+
 \end{document}