From 285c64a655b3b42cfdedae897f33ea6f438a1328 Mon Sep 17 00:00:00 2001
From: s487174 <tomkos5@st.amu.edu.pl>
Date: Fri, 16 Jun 2023 06:15:55 +0200
Subject: [PATCH] Final

---
 Wrzodak_Koszarek_Zadania.ipynb | 31 ++++++++++++++++---------------
 1 file changed, 16 insertions(+), 15 deletions(-)

diff --git a/Wrzodak_Koszarek_Zadania.ipynb b/Wrzodak_Koszarek_Zadania.ipynb
index dbb0934..ed9767c 100644
--- a/Wrzodak_Koszarek_Zadania.ipynb
+++ b/Wrzodak_Koszarek_Zadania.ipynb
@@ -30,7 +30,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 126,
+   "execution_count": 148,
    "metadata": {},
    "outputs": [
     {
@@ -130,7 +130,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 127,
+   "execution_count": 149,
    "metadata": {},
    "outputs": [
     {
@@ -170,19 +170,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 128,
+   "execution_count": 152,
    "metadata": {},
    "outputs": [
     {
-     "ename": "TypeError",
-     "evalue": "'module' object is not callable",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
-      "Cell \u001b[1;32mIn[128], line 9\u001b[0m\n\u001b[0;32m      5\u001b[0m m1\u001b[39m=\u001b[39mnp\u001b[39m.\u001b[39marray([[\u001b[39m1\u001b[39m,np\u001b[39m.\u001b[39mexp(\u001b[39m1.0\u001b[39m)],[\u001b[39m1\u001b[39m,np\u001b[39m.\u001b[39mexp(\u001b[39m2.0\u001b[39m)],[\u001b[39m1\u001b[39m,np\u001b[39m.\u001b[39mexp(\u001b[39m4.0\u001b[39m)]])\n\u001b[0;32m      7\u001b[0m \u001b[39m#a,b,t=var('a,b,t')\u001b[39;00m\n\u001b[1;32m----> 9\u001b[0m m1\u001b[39m*\u001b[39mvector([a,b])\u001b[39m-\u001b[39mvector([\u001b[39m1\u001b[39m,\u001b[39m3\u001b[39m,\u001b[39m5\u001b[39m])\n\u001b[0;32m     11\u001b[0m M1\u001b[39m=\u001b[39mm1\u001b[39m.\u001b[39mtranspose()\u001b[39m*\u001b[39mm1\n\u001b[0;32m     12\u001b[0m M1\u001b[39m.\u001b[39mdet()\n",
-      "\u001b[1;31mTypeError\u001b[0m: 'module' object is not callable"
-     ]
+     "data": {
+      "text/plain": [
+       "'\"\\nm1*vector([a,b])-vector([1,3,5])\\n\\nM1=m1.transpose()*m1\\nM1.det()\\n\\nM1^(-1)*m1.transpose()*vector([1,3,5])\\n\\n##########################################################\\n\\ndef func(t, a, b):\\n    return a + b * np.exp(t)\\n\\nx = np.linalg.inv(m.transpose() @ m) @ m.transpose() @ b\\n\\nzbior=[(1,1),(2,3),(4,5)]\\nprint(\\'zbior punktów = \\', zbior)\\nm=matrix(3,2,[1,exp(1.0),1,exp(2.0),1,exp(4.0)])\\n\\na,b,t=var(\\'a,b,t\\')\\n\\nm*vector([a,b])-vector([1,3,5])\\n\\nprint(\\'\\n (m^T * m)^-1 * m^T * vector =\\')\\nz = (m.transpose()*m)^(-1)*m.transpose()*vector([1,3,5])\\nprint(z)\\n\\nplot(z[0] +z[1]*exp(t),(t,0,4))+sum([point(x) for x in zbior])\\n\\n'"
+      ]
+     },
+     "execution_count": 152,
+     "metadata": {},
+     "output_type": "execute_result"
     }
    ],
    "source": [
@@ -193,7 +192,7 @@
     "m1=np.array([[1,np.exp(1.0)],[1,np.exp(2.0)],[1,np.exp(4.0)]])\n",
     "\n",
     "#a,b,t=var('a,b,t')\n",
-    "\n",
+    "\"\"\"\"\n",
     "m1*vector([a,b])-vector([1,3,5])\n",
     "\n",
     "M1=m1.transpose()*m1\n",
@@ -220,7 +219,9 @@
     "z = (m.transpose()*m)^(-1)*m.transpose()*vector([1,3,5])\n",
     "print(z)\n",
     "\n",
-    "plot(z[0] +z[1]*exp(t),(t,0,4))+sum([point(x) for x in zbior])"
+    "plot(z[0] +z[1]*exp(t),(t,0,4))+sum([point(x) for x in zbior])\n",
+    "\n",
+    "\"\"\""
    ]
   },
   {
@@ -334,7 +335,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 146,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {