Added alot of linAlg

src/lib/common_rewrite.typ

@@ -53,4 +53,19 @@
     },
     table.hline(stroke: (thickness: 0.3mm)),
   )
+]
+
+#let ComplexNumbersSection(i: $i$) = [
+  $1/#i = #i^(-1) = -#i quad quad #i^2=-1 quad quad sqrt(#i) = 1/sqrt(2) + 1/sqrt(2)#i$
+
+  $z in CC = a + b #i quad quad quad z = r dot e^(phi #i)$ \
+  $z_0 + z_1 = (a_0 + a_1) + (b_0 + b_1) #i$\
+  $z_0 dot z_1 = (a_1 a_2 - b_1 b_2) + #i (a_1b_2 + a_2 b_1) = r_0 r_1 e^(#i (phi_0 + phi_1))$\
+  $z^x = r^x dot e^(phi #i dot x) quad x in RR$ \
+  $z_0/z_1 = r_0/r_1 e^(#i (phi_0 - phi_1)) quad quad quad$
+
+  $r = abs(z) quad phi = cases(
+    + arccos(a/r) space : space b >= 0,
+    - arccos(a/r) space : space b < 0,
+  )$
 ]