[AMR] updated first 4.5 sections

electives/amr/parts/00_basics/00_probability.tex

@@ -5,7 +5,7 @@
 
 \shorttheorem[Bayes] $\displaystyle \P(Y_i | X) = \frac{\P(X | Y_i) \P(Y_i)}{\sum_{j = 1}^n \P(X | Y_j) \P(Y_j)}$
 
-\shortdefinition[Cont. Var] Sums become integrals\\
+\shortdefinition[Cont. Var] Sums become integrals (and vice-versa)\\
 e.g. $\sum_{X} \P(X) = 1$ becomes $\int \P(x) \dx = 1$
 
 \shortdefinition[Indep.] $x, y$ indep. iff $\P(\cX \cap \cY) = \P(\cX) \P(\cY)$

electives/amr/parts/00_basics/02_trigonometry.tex

@@ -5,6 +5,8 @@
 \shortdefinition[Orthogonal vec] $v^\top w = 0$;
 \shortdefinition[Vec Line Eq] $\vec{p} + \lambda \vec{d}$
 
-\shortdefinition[Determinant] $ad - bc$ for mat $[a, b; c, d]$
+\shortdefinition[Determinant] $ad - bc$ for mat $[a, b; c, d]$.
 
-\shortdefinition[Eigenvalues] Solve $\det(M - \lambda I) = 0$
+\shortdefinition[Eigenvalues] Solve $\det(M - \lambda I) = 0$.
+
+\shortremark[Matrix Inverse] For diagonal, inverse of diag els