minor updates

Author: jonkrohn

notebooks/1_intro_to_linear_algebra.ipynb

@@ -5,7 +5,7 @@
     "colab": {
       "name": "1-intro-to-linear-algebra.ipynb",
       "provenance": [],
-      "authorship_tag": "ABX9TyNv8VHNp0R6DABxQELV2Cto",
+      "authorship_tag": "ABX9TyO4toL+odzCdics69uQ9+W4",
       "include_colab_link": true
     },
     "kernelspec": {
@@ -968,7 +968,7 @@
         "outputId": "805ff724-1075-4b3e-a3d7-9d86d1d676a3"
       },
       "source": [
-        "# ...but can transpose a matrix with a dimension of length 1, which mathematically equivalent: \n",
+        "# ...but can transpose a matrix with a dimension of length 1, which is mathematically equivalent: \n",
         "x_t = np.matrix(x).T\n",
         "x_t"
       ],
@@ -1139,54 +1139,62 @@
       "metadata": {
         "id": "-0jbHgc5iijG",
         "colab_type": "code",
-        "colab": {}
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 34
+        },
+        "outputId": "eb20c8d1-a8ae-41b4-cd45-91f5247a2cf5"
       },
       "source": [
         "x_tf = tf.Variable([25, 2, 5], dtype=tf.int8)\n",
         "x_tf"
       ],
-      "execution_count": 0,
-      "outputs": []
-    },
-    {
-      "cell_type": "code",
-      "metadata": {
-        "id": "jNsJSH6cSjgG",
-        "colab_type": "code",
-        "colab": {}
-      },
-      "source": [
-        "# transpose"
-      ],
-      "execution_count": 0,
-      "outputs": []
+      "execution_count": 42,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "<tf.Variable 'Variable:0' shape=(3,) dtype=int8, numpy=array([25,  2,  5], dtype=int8)>"
+            ]
+          },
+          "metadata": {
+            "tags": []
+          },
+          "execution_count": 42
+        }
+      ]
     },
     {
       "cell_type": "code",
       "metadata": {
         "id": "s2TGDeqXnitZ",
         "colab_type": "code",
-        "colab": {}
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 34
+        },
+        "outputId": "15f4569a-a44d-4702-fdda-8e66470058f6"
       },
       "source": [
         "x_pt = torch.tensor([25, 2, 5], dtype=torch.int8)\n",
         "x_pt"
       ],
-      "execution_count": 0,
-      "outputs": []
-    },
-    {
-      "cell_type": "code",
-      "metadata": {
-        "id": "dJyc8LJnSl6Q",
-        "colab_type": "code",
-        "colab": {}
-      },
-      "source": [
-        "# transpose"
-      ],
-      "execution_count": 0,
-      "outputs": []
+      "execution_count": 43,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "tensor([25,  2,  5], dtype=torch.int8)"
+            ]
+          },
+          "metadata": {
+            "tags": []
+          },
+          "execution_count": 43
+        }
+      ]
     },
     {
       "cell_type": "markdown",