From 43da0d4a8e4a23c83aee8e24c2cde1d9bcfd8dc3 Mon Sep 17 00:00:00 2001
From: s487174 <tomkos5@st.amu.edu.pl>
Date: Wed, 14 Jun 2023 19:37:51 +0200
Subject: [PATCH] Zadanie 7 + 9

---
 Wrzodak_Koszarek_Zadania.ipynb | 48 ++++++++++++++++++++++++++++++++--
 1 file changed, 46 insertions(+), 2 deletions(-)

diff --git a/Wrzodak_Koszarek_Zadania.ipynb b/Wrzodak_Koszarek_Zadania.ipynb
index 8e38856..97919eb 100644
--- a/Wrzodak_Koszarek_Zadania.ipynb
+++ b/Wrzodak_Koszarek_Zadania.ipynb
@@ -51,7 +51,39 @@
    "execution_count": null,
    "metadata": {},
    "outputs": [],
-   "source": []
+   "source": [
+    "zb1=[(1,1),(2,3),(4,5)]\n",
+    "zb2=[(1,1),(2,3),(3,4),(4,5),(5,7),(6,9)]\n",
+    "\n",
+    "m1=matrix(3,2,[1,exp(1.0),1,exp(2.0),1,exp(4.0)])\n",
+    "m2=matrix(6,2,[1,exp(1.0),1,exp(2.0),1,exp(3.0),1,exp(4.0),1,exp(5.0),1,exp(6.0)])\n",
+    "\n",
+    "a,b,t=var('a,b,t')\n",
+    "\n",
+    "m1*vector([a,b])-vector([1,3,5])\n",
+    "m2*vector([a,b])-vector([1,3,4,5,7,9])\n",
+    "\n",
+    "\n",
+    "\n",
+    "M1=m1.transpose()*m1\n",
+    "M1.det()\n",
+    "\n",
+    "\n",
+    "\n",
+    "M2=m2.transpose()*m2\n",
+    "M2.det()\n",
+    "\n",
+    "\n",
+    "\n",
+    "M1^(-1)*m1.transpose()*vector([1,3,5])\n",
+    "\n",
+    "M2^(-1)*m2.transpose()*vector([1,3,4,5,7,9])\n",
+    "\n",
+    "\n",
+    "plot(1.64148598265947+ 0.0629860338045423*exp(t),(t,0,4))+sum([point(x) for x in zb1])\n",
+    "\n",
+    "plot(3.10041190358990+ 0.0163320609303546*exp(t),(t,0,6))+sum([point(x) for x in zb2])"
+   ]
   },
   {
    "attachments": {},
@@ -66,7 +98,19 @@
    "execution_count": null,
    "metadata": {},
    "outputs": [],
-   "source": []
+   "source": [
+    "m=matrix(3,3,[1,1,0,1,2,2,0,2,3])\n",
+    "\n",
+    "eigenvalues = np.m.eigvals(matrix)\n",
+    "\n",
+    "eigen=m.right_eigenvectors()\n",
+    "e1=eigen[0][1][0]\n",
+    "e2=eigen[1][1][0]\n",
+    "print(e1.dot_product(e2))\n",
+    "e3=eigen[2][1][0]\n",
+    "print(e3.dot_product(e1))\n",
+    "print(e2.dot_product(e3))"
+   ]
   }
  ],
  "metadata": {