fix typos

Author: zlotus

chapter03.ipynb

@@ -68,7 +68,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python [default]",
    "language": "python",
    "name": "python3"
   },
@@ -82,7 +82,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.5.1"
+   "version": "3.5.2"
   }
  },
  "nbformat": 4,

chapter04.ipynb

@@ -89,7 +89,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python [default]",
    "language": "python",
    "name": "python3"
   },
@@ -103,7 +103,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.5.1"
+   "version": "3.5.2"
   }
  },
  "nbformat": 4,

chapter05.ipynb

@@ -16,8 +16,7 @@
     "\n",
     "对置换矩阵$P$，有$P^TP = I$\n",
     "\n",
-    "即$P^T = P^{-1}"
-    "\n",
+    "即$P^T = P^{-1}\n",
     "## 转置矩阵（Transpose Matrix）\n",
     "\n",
     "$(A^T)_{ij} = (A)_{ji}$\n",
@@ -37,15 +36,14 @@
     "\n",
     "所有向量空间都必须包含原点（Origin）；\n",
     "\n",
-    "向量空间中任意向量的数乘、求和运算得到的向量也在该空间中。"
-    "\n",
+    "向量空间中任意向量的数乘、求和运算得到的向量也在该空间中。\n",
     "即向量空间要满足加法封闭和数乘封闭。"
    ]
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python [default]",
    "language": "python",
    "name": "python3"
   },
@@ -59,7 +57,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.5.1"
+   "version": "3.5.2"
   }
  },
  "nbformat": 4,

chapter07.ipynb

@@ -41,7 +41,7 @@
     "\n",
     "通常，给自由列变量赋值，去求主列变量的值。如，令$x_2=1, x_4=0$求得特解\n",
     "$x=c_1\\begin{bmatrix}-2\\\\1\\\\0\\\\0\\\\\\end{bmatrix}$；\n",
-    "再另$x_2=0, x_4=1$求得特解\n",
+    "再令$x_2=0, x_4=1$求得特解\n",
     "$x=c_2\\begin{bmatrix}2\\\\0\\\\-2\\\\1\\\\\\end{bmatrix}$。\n",
     "\n",
     "该例还能进一步简化，即将$U$矩阵化简为$R$矩阵（Reduced row echelon form），即简化行阶梯形式。\n",
@@ -159,7 +159,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python [default]",
    "language": "python",
    "name": "python3"
   },
@@ -173,7 +173,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.5.1"
+   "version": "3.5.2"
   }
  },
  "nbformat": 4,