Adding Linear Algebra workbook

tutorials/ComplexArithmetic/ComplexArithmetic.ipynb

@@ -75,7 +75,7 @@
     "\n",
     "We'll call the number $i$ and its real multiples **imaginary numbers**.\n",
     "\n",
-    "A good video introduction on imaginary numbers can be found  [here](https://youtu.be/SP-YJe7Vldo)"
+    "> A good video introduction on imaginary numbers can be found  [here](https://youtu.be/SP-YJe7Vldo)."
    ]
   },
   {
@@ -88,7 +88,7 @@
     "\n",
     "**Goal:** Return the $n$th power of $i$, or $i^n$.\n",
     "\n",
-    "Fill in the missing code (denoted by `...`) and run the cell below to test your work."
+    "> Fill in the missing code (denoted by `...`) and run the cell below to test your work."
    ]
   },
   {
@@ -563,9 +563,9 @@
     "\n",
     "**Input:** A complex number $x = a + bi$, represented as a tuple `(a, b)`.\n",
     "\n",
-    "**Goal:** Return the polar representation of $x = re^{i\\theta}$ - return the distance from origin $r$ and phase $\\theta$ as a tuple `(r, θ)`.\n",
+    "**Goal:** Return the polar representation of $x = re^{i\\theta}$, i.e., the distance from origin $r$ and phase $\\theta$ as a tuple `(r, θ)`.\n",
     "\n",
-    "* $r$ should not be negative: $r \\geq 0$\n",
+    "* $r$ should be non-negative: $r \\geq 0$\n",
     "* $\\theta$ should be between $-\\pi$ and $\\pi$: $-\\pi < \\theta \\leq \\pi$\n",
     "\n",
     "<br/>\n",
@@ -639,7 +639,7 @@
     "\n",
     "**Goal:** Return the result of the multiplication $x \\cdot y = z = r_3e^{i\\theta_3}$, represented in polar form as a tuple `(r3, θ3)`.\n",
     "\n",
-    "* $r_3$ should not be negative: $r_3 \\geq 0$\n",
+    "* $r_3$ should be non-negative: $r_3 \\geq 0$\n",
     "* $\\theta_3$ should be between $-\\pi$ and $\\pi$: $-\\pi < \\theta_3 \\leq \\pi$\n",
     "* Try to avoid converting the numbers into Cartesian form.\n",
     "\n",