diff --git a/NumPy - Basics/NumPy - Basics.ipynb b/NumPy - Basics/NumPy - Basics.ipynb
index 5f0795dbf9..5e89118b91 100644
--- a/NumPy - Basics/NumPy - Basics.ipynb	
+++ b/NumPy - Basics/NumPy - Basics.ipynb	
@@ -40,7 +40,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 2,
    "id": "684810d6",
    "metadata": {},
    "outputs": [
@@ -60,7 +60,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 3,
    "id": "95c01a0f",
    "metadata": {},
    "outputs": [
@@ -70,7 +70,7 @@
        "1"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -82,7 +82,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 4,
    "id": "ff246807",
    "metadata": {},
    "outputs": [
@@ -92,7 +92,7 @@
        "(5,)"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -104,7 +104,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 5,
    "id": "4cf047d3",
    "metadata": {},
    "outputs": [
@@ -114,7 +114,7 @@
        "dtype('int32')"
       ]
      },
-     "execution_count": 10,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -126,7 +126,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 6,
    "id": "bb10741e",
    "metadata": {},
    "outputs": [
@@ -136,7 +136,7 @@
        "5"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -156,7 +156,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 7,
    "id": "eb40e2f9",
    "metadata": {},
    "outputs": [],
@@ -167,7 +167,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 8,
    "id": "51fa97c1",
    "metadata": {},
    "outputs": [
@@ -185,7 +185,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 9,
    "id": "cf1807c1",
    "metadata": {},
    "outputs": [
@@ -195,7 +195,7 @@
        "numpy.ndarray"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -214,7 +214,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 10,
    "id": "a2f3276d",
    "metadata": {},
    "outputs": [
@@ -252,7 +252,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 11,
    "id": "41356018",
    "metadata": {},
    "outputs": [
@@ -262,7 +262,7 @@
        "array([4, 6, 3, 8])"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -273,7 +273,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 12,
    "id": "f9032bfc",
    "metadata": {},
    "outputs": [
@@ -283,7 +283,7 @@
        "3"
       ]
      },
-     "execution_count": 13,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -295,7 +295,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 13,
    "id": "a5d10c99",
    "metadata": {},
    "outputs": [
@@ -305,7 +305,7 @@
        "array([4, 6])"
       ]
      },
-     "execution_count": 16,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -325,7 +325,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 14,
    "id": "1b862570",
    "metadata": {},
    "outputs": [
@@ -337,7 +337,7 @@
        "       [7, 8, 9]])"
       ]
      },
-     "execution_count": 17,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -346,9 +346,17 @@
     "md_arr"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "1a203231-f28c-4d9e-a2b2-4f34246fb95d",
+   "metadata": {},
+   "source": [
+    "### Slicing arrays:"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 15,
    "id": "ccf30da0",
    "metadata": {},
    "outputs": [
@@ -358,7 +366,7 @@
        "6"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -370,7 +378,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 16,
    "id": "549c5bca",
    "metadata": {},
    "outputs": [
@@ -380,7 +388,7 @@
        "array([7, 8, 9])"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -392,7 +400,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 17,
    "id": "3218c148",
    "metadata": {},
    "outputs": [
@@ -402,7 +410,7 @@
        "array([2, 5, 8])"
       ]
      },
-     "execution_count": 21,
+     "execution_count": 17,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -414,7 +422,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 18,
    "id": "4c7c5f68",
    "metadata": {},
    "outputs": [
@@ -435,6 +443,231 @@
     "print(md_arr)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "9003f64c-3d8c-429a-9872-16de658ab309",
+   "metadata": {},
+   "source": [
+    "#### Concatenation of arrays"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "08ed59b0-ca59-460f-a6a3-3ffc3be302dc",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([1, 2, 3, 3, 2, 1])"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "x = np.array([1,2,3])\n",
+    "y = np.array([3,2,1])\n",
+    "np.concatenate([x,y])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fbca3a78-a928-4abd-83da-785e30d66b98",
+   "metadata": {},
+   "source": [
+    "### Arithmetic Operations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "33e2aabe-9deb-4c1c-abe7-d2a3a54fcf3f",
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([4, 4, 4])"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#add two arrays\n",
+    "add = np.add(x,y)\n",
+    "add"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "0886816d-a4eb-4192-a80b-6fae2bbe8539",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([-2,  0,  2])"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#subtract two arrays\n",
+    "sub =np.subtract(x,y)\n",
+    "sub"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "98ade084-cd4c-468a-8576-03410f62d3ad",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([-1, -2, -3])"
+      ]
+     },
+     "execution_count": 22,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#unary negation\n",
+    "neg=np.negative(x)\n",
+    "neg"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "id": "a65693fb-4200-4ce2-a6aa-250813e7a395",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([3, 4, 3])"
+      ]
+     },
+     "execution_count": 23,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#multiply two arrays\n",
+    "prod = np.multiply(x,y)\n",
+    "prod"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "id": "0bf23e73-2a68-42a3-b7d2-2b2408b35d73",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([0.33333333, 1.        , 3.        ])"
+      ]
+     },
+     "execution_count": 24,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#divide two arrays\n",
+    "div = np.divide(x,y)\n",
+    "div"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "id": "1df89079-fede-4f88-9173-43318018aba9",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([0, 1, 3])"
+      ]
+     },
+     "execution_count": 25,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#floor division of two arrays\n",
+    "floordiv = np.floor_divide(x,y)\n",
+    "floordiv"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "id": "2f8923cd-e8c7-4f62-ad01-05f595b8c6a3",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "8"
+      ]
+     },
+     "execution_count": 26,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#exponentiation\n",
+    "power = np.power(2,3)\n",
+    "power"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "id": "40c63d50-5474-4e68-b265-8ac98e03ad0c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "1"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#modulus\n",
+    "mod = np.mod(9,4)\n",
+    "mod"
+   ]
+  },
   {
    "cell_type": "markdown",
    "id": "6a3d5861",
@@ -453,7 +686,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 28,
    "id": "86a41bc2",
    "metadata": {},
    "outputs": [
@@ -463,7 +696,7 @@
        "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14])"
       ]
      },
-     "execution_count": 25,
+     "execution_count": 28,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -475,7 +708,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 29,
    "id": "b337bbb9",
    "metadata": {},
    "outputs": [
@@ -485,7 +718,7 @@
        "array([ 2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11., 12., 13., 14.])"
       ]
      },
-     "execution_count": 26,
+     "execution_count": 29,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -497,7 +730,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 30,
    "id": "34aa02f9",
    "metadata": {},
    "outputs": [
@@ -507,7 +740,7 @@
        "array([ 1,  4,  7, 10, 13])"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 30,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -528,7 +761,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 31,
    "id": "8c8c7eda",
    "metadata": {},
    "outputs": [
@@ -538,7 +771,7 @@
        "array([0.  , 0.25, 0.5 , 0.75, 1.  ])"
       ]
      },
-     "execution_count": 38,
+     "execution_count": 31,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -549,7 +782,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 32,
    "id": "64501cb7",
    "metadata": {},
    "outputs": [
@@ -559,7 +792,7 @@
        "array([1. , 1.5, 2. , 2.5, 3. , 3.5])"
       ]
      },
-     "execution_count": 39,
+     "execution_count": 32,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -579,7 +812,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 33,
    "id": "8042c4fe",
    "metadata": {},
    "outputs": [],
@@ -591,7 +824,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 34,
    "id": "6e0a31b1",
    "metadata": {},
    "outputs": [
@@ -601,7 +834,7 @@
        "(2, 3)"
       ]
      },
-     "execution_count": 31,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -680,7 +913,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 38,
    "id": "44151a83",
    "metadata": {},
    "outputs": [
@@ -690,7 +923,7 @@
        "array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])"
       ]
      },
-     "execution_count": 40,
+     "execution_count": 38,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -701,7 +934,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 39,
    "id": "29a9291f",
    "metadata": {},
    "outputs": [
@@ -714,7 +947,7 @@
        "       [0., 0., 0.]])"
       ]
      },
-     "execution_count": 42,
+     "execution_count": 39,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -725,7 +958,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 40,
    "id": "b82b842e",
    "metadata": {},
    "outputs": [
@@ -738,7 +971,7 @@
        "       [0, 0, 0]])"
       ]
      },
-     "execution_count": 43,
+     "execution_count": 40,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -757,7 +990,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 41,
    "id": "56a695dc",
    "metadata": {},
    "outputs": [
@@ -767,7 +1000,7 @@
        "array([1., 1., 1., 1., 1.])"
       ]
      },
-     "execution_count": 44,
+     "execution_count": 41,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -778,7 +1011,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 42,
    "id": "b5aa24ee",
    "metadata": {},
    "outputs": [
@@ -789,7 +1022,7 @@
        "       [1., 1., 1., 1., 1.]])"
       ]
      },
-     "execution_count": 45,
+     "execution_count": 42,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -800,7 +1033,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 43,
    "id": "4c0b6e5d",
    "metadata": {},
    "outputs": [
@@ -814,7 +1047,7 @@
        "       [1, 1]])"
       ]
      },
-     "execution_count": 46,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -833,7 +1066,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 44,
    "id": "26fd2068",
    "metadata": {},
    "outputs": [
@@ -843,7 +1076,7 @@
        "array([0.25, 0.5 , 0.75, 1.  ])"
       ]
      },
-     "execution_count": 47,
+     "execution_count": 44,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -854,19 +1087,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 49,
+   "execution_count": 45,
    "id": "4650214e",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([[         1,          1,          0],\n",
-       "       [1936682280,        344,          0],\n",
-       "       [  16777984,        459,  573142131]])"
+       "array([[        0,         0, 279203168],\n",
+       "       [      267, 279204048,       267],\n",
+       "       [279202128,       267,   7929957]])"
       ]
      },
-     "execution_count": 49,
+     "execution_count": 45,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -885,7 +1118,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 50,
+   "execution_count": 46,
    "id": "89f8704e",
    "metadata": {},
    "outputs": [
@@ -898,7 +1131,7 @@
        "       [0., 0., 0., 1.]])"
       ]
      },
-     "execution_count": 50,
+     "execution_count": 46,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -909,7 +1142,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": 47,
    "id": "b2321259",
    "metadata": {},
    "outputs": [
@@ -922,7 +1155,7 @@
        "       [0, 0, 0, 1]])"
       ]
      },
-     "execution_count": 53,
+     "execution_count": 47,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -941,7 +1174,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
+   "execution_count": 48,
    "id": "e08b35a1",
    "metadata": {},
    "outputs": [
@@ -952,7 +1185,7 @@
        "       [0., 1.]])"
       ]
      },
-     "execution_count": 54,
+     "execution_count": 48,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -963,7 +1196,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": 49,
    "id": "1e669687",
    "metadata": {},
    "outputs": [
@@ -980,7 +1213,7 @@
        "       [0., 0., 0., 0.]])"
       ]
      },
-     "execution_count": 55,
+     "execution_count": 49,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -991,7 +1224,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 57,
+   "execution_count": 50,
    "id": "39298f43",
    "metadata": {},
    "outputs": [
@@ -1008,7 +1241,7 @@
        "       [0, 0, 0, 0]])"
       ]
      },
-     "execution_count": 57,
+     "execution_count": 50,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1027,17 +1260,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
+   "execution_count": 51,
    "id": "5c5ed1ed",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.96844061, 0.04042306, 0.287759  ])"
+       "array([0.3812388 , 0.03651375, 0.34331775])"
       ]
      },
-     "execution_count": 58,
+     "execution_count": 51,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1048,17 +1281,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
+   "execution_count": 52,
    "id": "2e024ab5",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([-1.68800733,  0.69039249])"
+       "array([ 0.61284422, -0.07029641])"
       ]
      },
-     "execution_count": 59,
+     "execution_count": 52,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1069,18 +1302,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
+   "execution_count": 53,
    "id": "9f93753b",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([[0.88905109, 0.23563943, 0.57782012, 0.74340422, 0.88435015],\n",
-       "       [0.79799881, 0.71703718, 0.7145446 , 0.54194783, 0.76422077]])"
+       "array([[0.10587568, 0.14647444, 0.01860027, 0.78634316, 0.74404556],\n",
+       "       [0.19103123, 0.03814603, 0.08133144, 0.59476043, 0.82063691]])"
       ]
      },
-     "execution_count": 60,
+     "execution_count": 53,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1099,7 +1332,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 62,
+   "execution_count": 54,
    "id": "cad51f50",
    "metadata": {},
    "outputs": [
@@ -1128,7 +1361,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 63,
+   "execution_count": 55,
    "id": "8facee2d",
    "metadata": {},
    "outputs": [],
@@ -1141,7 +1374,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 64,
+   "execution_count": 56,
    "id": "07445b34",
    "metadata": {},
    "outputs": [],
@@ -1154,7 +1387,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 65,
+   "execution_count": 57,
    "id": "f659834b",
    "metadata": {},
    "outputs": [
@@ -1166,7 +1399,7 @@
        "       [105,  98]])"
       ]
      },
-     "execution_count": 65,
+     "execution_count": 57,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1177,7 +1410,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 66,
+   "execution_count": 58,
    "id": "8eea6d9e",
    "metadata": {},
    "outputs": [
@@ -1189,7 +1422,7 @@
        "       [105,  98]])"
       ]
      },
-     "execution_count": 66,
+     "execution_count": 58,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1201,7 +1434,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 67,
+   "execution_count": 59,
    "id": "5d0a0817",
    "metadata": {},
    "outputs": [
@@ -1212,7 +1445,7 @@
        "       [2, 6, 4]])"
       ]
      },
-     "execution_count": 67,
+     "execution_count": 59,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1232,7 +1465,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 68,
+   "execution_count": 60,
    "id": "e159041d",
    "metadata": {},
    "outputs": [],
@@ -1243,7 +1476,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 69,
+   "execution_count": 61,
    "id": "437a7435",
    "metadata": {},
    "outputs": [
@@ -1253,7 +1486,7 @@
        "22"
       ]
      },
-     "execution_count": 69,
+     "execution_count": 61,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1265,7 +1498,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 70,
+   "execution_count": 62,
    "id": "363f3cb1",
    "metadata": {},
    "outputs": [
@@ -1275,7 +1508,7 @@
        "1.8547236990991407"
       ]
      },
-     "execution_count": 70,
+     "execution_count": 62,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1287,7 +1520,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 71,
+   "execution_count": 63,
    "id": "2a7071ae",
    "metadata": {},
    "outputs": [
@@ -1297,7 +1530,7 @@
        "3.44"
       ]
      },
-     "execution_count": 71,
+     "execution_count": 63,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1309,7 +1542,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 64,
    "id": "60868fc9",
    "metadata": {},
    "outputs": [],
@@ -1323,7 +1556,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 65,
    "id": "d4f89544",
    "metadata": {},
    "outputs": [
@@ -1333,7 +1566,7 @@
        "24"
       ]
      },
-     "execution_count": 77,
+     "execution_count": 65,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1344,7 +1577,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": 66,
    "id": "2c2b2d2c",
    "metadata": {},
    "outputs": [
@@ -1354,7 +1587,7 @@
        "4.0"
       ]
      },
-     "execution_count": 78,
+     "execution_count": 66,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1365,7 +1598,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": 67,
    "id": "5093c278",
    "metadata": {},
    "outputs": [
@@ -1375,7 +1608,7 @@
        "1.9148542155126762"
       ]
      },
-     "execution_count": 79,
+     "execution_count": 67,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1386,7 +1619,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": 68,
    "id": "7ef88949",
    "metadata": {},
    "outputs": [
@@ -1396,7 +1629,7 @@
        "array([ 5,  7, 12])"
       ]
      },
-     "execution_count": 80,
+     "execution_count": 68,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1405,19 +1638,11 @@
     "#sum of elements of columns\n",
     "A.sum(axis=0)"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "599611eb",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
@@ -1431,7 +1656,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.10"
+   "version": "3.12.3"
   }
  },
  "nbformat": 4,