diff --git a/ml/linear regression/linear regression.md b/ml/linear regression/linear regression.md
index 99d8862..4b11fcb 100644
--- a/ml/linear regression/linear regression.md	
+++ b/ml/linear regression/linear regression.md	
@@ -80,6 +80,7 @@ $$
 
 $$
 L(\theta) = \Pi_{i = 1}^m f(y^{(i)}|x^{(i)}) = (\frac{1}{\sqrt{2\pi}\sigma})^m\cdot e^{-\frac{1}{2\sigma^2}\Sigma_{i = 1}^m (y^{(i)} - \theta^Tx^{(i)})^2}\\
+
 lnL(\theta) = -mln(\sqrt{2\pi}\sigma) - \frac{1}{2\sigma^2}\Sigma_{i = 1}^m(y^{(i)} - \theta^Tx^{(i)})^2
 $$
 
@@ -168,8 +169,11 @@ $$
 H = \frac{1}{m}\left[
 	\begin{matrix}
 		\Sigma_{i = 1}^mx_0^{(i)^2} & \Sigma_{i = 1}^mx_0^{(i)}x_1^{(i)} & \cdots & \Sigma_{i = 1}^mx_0^{(i)}x_n^{(i)}\\
+		
 		\Sigma_{i = 1}^mx_1^{(i)}x_0^{(i)} & \Sigma_{i = 1}^mx_1^{(i)^2} & \cdots & \Sigma_{i = 1}^mx_1^{(i)}x_n^{(i)}\\
+		
 		\vdots & \vdots &  & \vdots&\\
+		
 		\Sigma_{i = 1}^mx_n^{(i)}x_0^{(i)} & \Sigma_{i = 1}^mx_n^{(i)}x_1^{(i)} & \cdots & \Sigma_{i = 1}^mx_n^{(i)^2}\\
 	\end{matrix}
 \right]