fixed a few notebook mat equation typos

SQLScott · SQLScott · commit f6d85e6a84eb · 2019-04-30T12:28:23.000-07:00
diff --git a/Module03/03-02-Vector Multiplication.ipynb b/Module03/03-02-Vector Multiplication.ipynb
@@ -37,7 +37,9 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {},
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "library(ggplot2)\n",
@@ -72,7 +74,9 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {},
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "b = v / 2\n",
@@ -113,7 +117,9 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {},
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "## Another data frame s\n",
@@ -138,7 +144,7 @@
     "\n",
     "So for our vectors **v** (2,1) and **s** (-3,2), our calculation looks like this:\n",
     "\n",
-    "$$ \\cos(\\theta) = \\frac{(2 \\cdot-3) + (-3 \\cdot 2)}{\\sqrt{2^{2} + 1^{2}} \\times \\sqrt{-3^{2} + 2^{2}}} $$\n",
+    "$$ \\cos(\\theta) = \\frac{(2 \\cdot-3) + (1 \\cdot 2)}{\\sqrt{2^{2} + 1^{2}} \\times \\sqrt{-3^{2} + 2^{2}}} $$\n",
     "\n",
     "So:\n",
     "\n",
@@ -158,7 +164,9 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {},
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "norm_v = norm(v, '2')\n",
@@ -197,7 +205,9 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {},
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "## Need the cross function from the pracma package\n",
