Applied edits

Advanced/Linear Algebra 101/main.tex

@@ -43,8 +43,8 @@
 	\problem{}
 	Show that the euclidean norm satisfies the triangle inequalty:
 	$$
-	||x+y|| \leq ||x|| + ||y||
-	$$:
+		||x+y|| \leq ||x|| + ||y||
+	$$
 
 	\vfill
 
@@ -52,7 +52,7 @@
 	Show that the eucidean norm satisfies the reverse triangle inequality:
 
 	$$
-		||x - y|| \geq |~||x|| - ||y||~|
+		||x-y|| \geq |~||x|| - ||y||~|
 	$$
 
 	\vfill
@@ -61,7 +61,7 @@
 	Prove the Cauchy-Schwartz inequality:
 
 	$$
-		||x \cdot y|| = ||x||~||y||
+		||x \cdot y|| \leq ||x||~||y||
 	$$
 
 	\vfill