[Analysis] Diff. Calc.

semester3/analysis-ii/cheat-sheet-rb/parts/01_linalg.tex

@@ -1,5 +1,7 @@
 Relevant definitions used throughout Analysis II.
 
+\subtext{$\textbf{A} \in \R^{m \times n},\quad x,y \in \R^n,\quad \alpha \in \R$}
+
 \definition \textbf{Euclidian Norm} $||x|| := \displaystyle\sqrt{\sum_{i=1}^{n} x_i^2}$\\
 \subtext{Used to generalize $|x|$ in many Analysis I definitions}
 
@@ -14,4 +16,5 @@ Relevant definitions used throughout Analysis II.
     \end{array}
     $
 \end{center}
-\subtext{$\forall x,y \in \R^n,\quad \alpha \in \R\\$}
+
+\definition \textbf{Trace} $\text{Tr}(\textbf{A}) := \displaystyle\sum_{i=0}^{\text{min}(m,n)} \textbf{A}_{i, i}$