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UCLAx-Data-Science · Jan 23, 2018 · 8e50fb5 · 8e50fb5
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diff --git a/01-linear_algebra_and_modeling-joshua/linear_algebra_and_modeling-04-the_dot_product.ipynb b/01-linear_algebra_and_modeling-joshua/linear_algebra_and_modeling-04-the_dot_product.ipynb
diff --git a/...gebra_and_modeling-joshua/linear_algebra_and_modeling-05-Linear_Algebraic_Solutions.ipynb b/...gebra_and_modeling-joshua/linear_algebra_and_modeling-05-Linear_Algebraic_Solutions.ipynb
@@ -141,9 +141,28 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "2"
+      ],
+      "text/latex": [
+       "2"
+      ],
+      "text/markdown": [
+       "2"
+      ],
+      "text/plain": [
+       "[1] 2"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "solve(3, 6)"
    ]
@@ -180,9 +199,38 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<tbody>\n",
+       "\t<tr><td>1.5</td><td>3  </td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{ll}\n",
+       "\t 1.5 & 3  \\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| 1.5 | 3   | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "     [,1] [,2]\n",
+       "[1,] 1.5  3   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "solve(2,t(c(3,6)))"
    ]

diff --git a/...d_modeling-joshua/linear_algebra_and_modeling-06-solving_systems_via_linear_algebra.ipynb b/...d_modeling-joshua/linear_algebra_and_modeling-06-solving_systems_via_linear_algebra.ipynb
@@ -44,19 +44,79 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [],
    "source": [
-    "A = matrix(c(-3,5,1,1),nrow = 2)\n",
+    "A = matrix(c(-3,5,1,1),ncol = 2)\n",
     "b = c(-2,6)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<tbody>\n",
+       "\t<tr><td>-3</td><td>1 </td></tr>\n",
+       "\t<tr><td> 5</td><td>1 </td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{ll}\n",
+       "\t -3 & 1 \\\\\n",
+       "\t  5 & 1 \\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| -3 | 1  | \n",
+       "|  5 | 1  | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "     [,1] [,2]\n",
+       "[1,] -3   1   \n",
+       "[2,]  5   1   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "<ol class=list-inline>\n",
+       "\t<li>-2</li>\n",
+       "\t<li>6</li>\n",
+       "</ol>\n"
+      ],
+      "text/latex": [
+       "\\begin{enumerate*}\n",
+       "\\item -2\n",
+       "\\item 6\n",
+       "\\end{enumerate*}\n"
+      ],
+      "text/markdown": [
+       "1. -2\n",
+       "2. 6\n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "[1] -2  6"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "A; b"
    ]
@@ -70,9 +130,37 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<ol class=list-inline>\n",
+       "\t<li>1</li>\n",
+       "\t<li>1</li>\n",
+       "</ol>\n"
+      ],
+      "text/latex": [
+       "\\begin{enumerate*}\n",
+       "\\item 1\n",
+       "\\item 1\n",
+       "\\end{enumerate*}\n"
+      ],
+      "text/markdown": [
+       "1. 1\n",
+       "2. 1\n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "[1] 1 1"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "solve(A, b)"
    ]

diff --git a/...ar_algebra_and_modeling-joshua/linear_algebra_and_modeling-07-Inverting_the_Problem.ipynb b/...ar_algebra_and_modeling-joshua/linear_algebra_and_modeling-07-Inverting_the_Problem.ipynb
diff --git a/...algebra_and_modeling-joshua/linear_algebra_and_modeling-08-An_Overdetermined_System.ipynb b/...algebra_and_modeling-joshua/linear_algebra_and_modeling-08-An_Overdetermined_System.ipynb