diff --git a/src/posts/a-favourite-proof-of-mine.md b/src/posts/a-favourite-proof-of-mine.md
index 7a30d14..e07dff6 100644
--- a/src/posts/a-favourite-proof-of-mine.md
+++ b/src/posts/a-favourite-proof-of-mine.md
@@ -61,9 +61,15 @@ In each step we move the window by replacing the first slot in the window by wha
 What does this have to do with mathematics, and this beautiful proof that I have promised? We shall begin to translate this moving window into the language of mathematics, our window is a pair of numbers, so why not represent it as a vector. Furthermore, we may view sliding our window one step as a function $S$ from vectors to vectors. This poses an interesting question: is this function a linear transformation?
 
 $$
-S \left(\begin{bmatrix} a & b \end{bmatrix}\right) \\
-+ S\left(\begin{bmatrix} c & d \end{bmatrix}\right) \\
-= \begin{bmatrix} b a + b \end{bmatrix} \\
+S \left(\begin{bmatrix} a & b \end{bmatrix}\right)
+$$
+$$
++ S\left(\begin{bmatrix} c & d \end{bmatrix}\right)
+$$
+$$
+= \begin{bmatrix} b a + b \end{bmatrix}
+$$
+$$
 + \begin{bmatrix} d c + d \end{bmatrix}
 $$