init: initial commit

1 files changed, 807 insertions, 0 deletions

diff --git a/PVCM/cama/en/ma24 Vectors propres.ipynb b/PVCM/cama/en/ma24 Vectors propres.ipynb
new file mode 100644
index 0000000..fb29cb8
--- /dev/null
+++ b/PVCM/cama/en/ma24 Vectors propres.ipynb
@@ -0,0 +1,807 @@
+{
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2,
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# $A^n \\textbf{x}$\n",
+    "\n",
+    "Soit A une matrice qui représente une application linéraire quelconque. Que se passe-t-il si on l'applique $n$ fois ?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import numpy.linalg as lin\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "%matplotlib inline\n",
+    "%config InlineBackend.figure_format = 'retina'\n",
+    "\n",
+    "np.set_printoptions(precision=3, linewidth=150, suppress=True)\n",
+    "plt.style.use(['seaborn-whitegrid','data/cours.mplstyle'])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def arrow2D(a,b, color='k', **kargs):\n",
+    "    astyle = matplotlib.patches.ArrowStyle(\"simple\", head_length=.8, head_width=.8, tail_width=.1)\n",
+    "    plt.plot([a[0],b[0]], [a[1],b[1]] ,visible = False) # to define the visible windows\n",
+    "    plt.annotate(\"\", xytext=a, xy=b, \n",
+    "                 arrowprops=dict(arrowstyle=astyle, shrinkA=0, shrinkB=0, aa=True, color=color, **kargs))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 720x360 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 300,
+       "width": 606
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "mouse = np.load('data/mouse.npy')\n",
+    "\n",
+    "plt.plot(mouse[0], mouse[1], ':ob')\n",
+    "plt.plot([0,mouse[0][0]], [0,mouse[1][0]], 'r')  # le point 0\n",
+    "plt.plot([0,mouse[0][3]], [0,mouse[1][3]], 'g')  # le point 3 pour voir comment ils évoluent\n",
+    "plt.axis(\"equal\");"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[ 0.707,  0.966,  0.966,  0.707,  0.259, -0.259, -0.707, -1.061, -1.414, -1.061, -0.707, -0.   ,  0.707],\n",
+       "       [-0.707, -0.259,  0.259,  0.707,  0.966,  0.966,  0.707,  0.354,  0.   , -0.354, -0.707, -0.707, -0.707]])"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "mouse"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[3, 1],\n",
+       "       [0, 2]])"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# on prend une matrice de transformation au hasard (donc probablement pas orthoganale)\n",
+    "A = np.array([[3,1], [0,2]])\n",
+    "A"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[ 1.414,  2.639,  3.157,  2.828,  1.742,  0.189, -1.414, -2.828, -4.243, -3.536, -2.828, -0.707,  1.414],\n",
+       "       [-1.414, -0.518,  0.518,  1.414,  1.932,  1.932,  1.414,  0.707,  0.   , -0.707, -1.414, -1.414, -1.414]])"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "as1 = np.dot(A, mouse)   # autre facon d'écrire le produit matrice vecteur\n",
+    "as1"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 720x360 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 318,
+       "width": 599
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(as1[0], as1[1], ':ob')\n",
+    "plt.plot([0,as1[0][0]], [0,as1[1][0]], 'r')\n",
+    "plt.plot([0,as1[0][3]], [0,as1[1][3]], 'g')\n",
+    "plt.title(\"Transformation de la souris par A\")\n",
+    "plt.axis('equal');"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "On constate que la transformation n'est pas une isométrie donc que la matrice n'est pas orthogonale.\n",
+    "\n",
+    "Appliquons plusieurs fois de suite la transformation pour voir."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 720x360 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 318,
+       "width": 596
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "aas1 = A @ A @ mouse\n",
+    "aaas1 = A @ A @ A @ mouse\n",
+    "\n",
+    "plt.plot(mouse[0], mouse[1], 'k')\n",
+    "plt.plot(as1[0], as1[1], 'r')\n",
+    "plt.plot(aas1[0], aas1[1], 'g')\n",
+    "plt.plot(aaas1[0], aaas1[1], 'b')\n",
+    "plt.plot([-40,36], [0,0], ':b')\n",
+    "plt.title(\"Transformation de la souris (en noir) par A, A² et A³\")\n",
+    "plt.axis('equal');"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "On note \n",
+    "\n",
+    "* que la souris est de plus en plus grosse (donc le det(A)  > 1)\n",
+    "* que sa pointe (son point le plus à gauche) reste toujours sur l'axe horizontal\n",
+    "* qu'elle est de plus en plus écrasée"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Évolution du point 0 transformé par A et A³\n",
+      "[ 1.414 -1.414]  et normé  [ 0.707 -0.707]\n",
+      "[ 5.657 -5.657]  et normé  [ 0.707 -0.707]\n",
+      "\n",
+      "Évolution du point 3 transformé par A et A³\n",
+      "[2.828 1.414]  et normé  [0.894 0.447]\n",
+      "[32.527  5.657]  et normé  [0.985 0.171]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 720x360 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 318,
+       "width": 589
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "print('Évolution du point 0 transformé par A et A³')\n",
+    "print(as1[:,0], \" et normé \", as1[:,0] / lin.norm(as1[:,0]))\n",
+    "print(aaas1[:,0], \" et normé \", aaas1[:,0] / lin.norm(aaas1[:,0]))\n",
+    "print('\\nÉvolution du point 3 transformé par A et A³')\n",
+    "print(as1[:,3], \" et normé \", as1[:,3] / lin.norm(as1[:,3]))\n",
+    "print(aaas1[:,3], \" et normé \", aaas1[:,3] / lin.norm(aaas1[:,3]))\n",
+    "\n",
+    "plt.plot([0,mouse[0][0]], [0,mouse[1][0]], '-or')  # vecteur (0,0) -- point 0 de la souris\n",
+    "plt.plot([0,mouse[0][3]], [0,mouse[1][3]], '-og')  # vecteur (0,0) -- point 3 de la souris\n",
+    "plt.plot([0,as1[0][0]], [0,as1[1][0]], '--or')\n",
+    "plt.plot([0,as1[0][3]], [0,as1[1][3]], '--og')\n",
+    "plt.plot([0,aaas1[0][0]], [0,aaas1[1][0]], ':or')\n",
+    "plt.plot([0,aaas1[0][3]], [0,aaas1[1][3]], ':og')\n",
+    "plt.title(\"Transformation des point 0 et 3 de la souris A et A³\")\n",
+    "plt.axis('equal');"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Les transformations du point 0 de la souris par A et A³ sont sur la droite qui passe par (0,0) et le point 0 de la souris (en rouge) !"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Vecteurs propres et valeurs propres\n",
+    "\n",
+    "Calculons les valeurs propres et vecteurs propres de A.\n",
+    "\n",
+    "Par définition les valeurs propres et vecteurs propres respectent cette propriété :\n",
+    "\n",
+    "$$ A \\, {\\bf v_i} = \\lambda_i \\, {\\bf v_i} $$\n",
+    "\n",
+    "pour tout couple de valeur propre / vecteur propre $(\\lambda_i, {\\bf v_i})$. \n",
+    "\n",
+    "Cela veut dire que si un vecteur ${\\bf w}$ est sur la droite générée par ${\\bf v_i} $ alors appliquer $A \\, {\\bf w}$ le laisse sur la même droite. Ci-dessus on a déjà trouvé les vecteurs propres de A (avec pas mal de chance)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Valeurs propres de A : [3.+0.j 2.+0.j] \n",
+      "\n",
+      "Vecteurs propres de A (chaque vecteur propre est écrit verticalement):\n",
+      " [[ 1.    -0.707]\n",
+      " [ 0.     0.707]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "val_propre, vec_propre = lin.eig(A)\n",
+    "print(\"Valeurs propres de A :\", val_propre,\"\\n\")\n",
+    "print(\"Vecteurs propres de A (chaque vecteur propre est écrit verticalement):\\n\", vec_propre)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "* Le premier vecteur propre (1,0) correspond à la valeur propre 3\n",
+    "* Le second vecteur propre (-0.07, 0.707) correspond à la valeur propre 2\n",
+    "\n",
+    "Le point 0 de la souris est sur l'axe du second vecteur propre et on a donc\n",
+    "\n",
+    "$$A³ \\, s[0] = 2 \\times 2 \\times 2 \\times s[0]$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "  A³ s[0] =  [ 5.657 -5.657] \n",
+      "8 A s[0] =  [ 5.657 -5.657]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print('  A³ s[0] = ', aaas1[:,0], \"\\n8 s[0] = \", 2*2*2*mouse[:,0])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "Les vecteurs propres sont des sortes d'attracteurs qui vont capturer tous les points si on fait un nombre infini\n",
+    "de multiplication par A."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Les 12 points de la souris multipliés par A¹⁰ puis normés :\n",
+      "[[ 0.707  1.     1.     1.     1.     1.    -0.707 -1.    -1.    -1.    -1.    -1.   ]\n",
+      " [-0.707 -0.006  0.004  0.009  0.014  0.024  0.707  0.009  0.    -0.004 -0.009 -0.018]]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 720x360 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 322,
+       "width": 599
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "A10 = np.linalg.matrix_power(A,10)\n",
+    "a10s1 = np.array([x/lin.norm(x) for x in (A10 @ mouse).T]).T\n",
+    "print(\"Les 12 points de la souris multipliés par A¹⁰ puis normés :\")\n",
+    "print(a10s1[:,:-1])\n",
+    "\n",
+    "plt.plot(a10s1[0], a10s1[1], 'ob')\n",
+    "plt.title(r\"Transformation des points de la souris par  $A^{10}$ puis normés\")\n",
+    "plt.axis('equal');"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Tous les points sont alignés sur le premier vecteur propre sauf ceux qui ont commencé alignés sur le second vecteur propre."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Nombre de points proche du 1er vecteur propre :  40\n",
+      "Nombre de points proche du 2e  vecteur propre :  0\n"
+     ]
+    }
+   ],
+   "source": [
+    "N = 100\n",
+    "cercle = np.array([[np.cos(i * 2*np.pi/N), np.sin(i * 2*np.pi/N)] for i in range(N)]).T\n",
+    "a10c = np.array([x for x in (A10 @ cercle).T]).T\n",
+    "a10cn = np.array([x/lin.norm(x) for x in a10c.T]).T  # a10c normé\n",
+    "nb1 = np.sum([lin.norm(a10cn[:,i] - vec_propre[:,0]) < 0.01 for i in range(N)])   \\\n",
+    "      + np.sum([lin.norm(a10cn[:,i] + vec_propre[:,0]) < 0.01 for i in range(N)])\n",
+    "nb2 = np.sum([lin.norm(a10cn[:,i] - vec_propre[:,1]) < 0.01 for i in range(N)])   \\\n",
+    "      + np.sum([lin.norm(a10cn[:,i] + vec_propre[:,1]) < 0.01 for i in range(N)])\n",
+    "print(\"Nombre de points proche du 1er vecteur propre : \", nb1)\n",
+    "print(\"Nombre de points proche du 2e  vecteur propre : \", nb2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x720 with 4 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 572,
+       "width": 1164
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, ax = plt.subplots(2,2, figsize=(20,10))\n",
+    "ax[0,0].plot(cercle[0], cercle[1], '.', label='cercle' )\n",
+    "ax[0,1].plot((A @ cercle)[0], (A @ cercle)[1], '.', label='A cercle' )\n",
+    "ax[1,0].plot((A @ A @ A @ cercle)[0], (A @ A @ A @ cercle)[1], '.', label='A³ cercle' )\n",
+    "ax[1,1].plot(a10c[0], a10c[1], '.' , label=r'$A^{10}$ cercle')\n",
+    "for x in ax.flat:\n",
+    "    x.axis(\"equal\")\n",
+    "    x.legend()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "On voit que les points du cercles s'alignent dans l'axe du premier vecteur propre."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Le cas des matrices de rotation\n",
+    "\n",
+    "On sait bien que si on applique plusieurs fois une rotation tous les points ne vont pas s'aligner dans une direction.\n",
+    "On a donc un comportement totalement différent. Qu'en est-il des vecteurs propres d'une matrice de rotation ?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Valeurs propres de R : [0.809+0.588j 0.809-0.588j] \n",
+      "\n",
+      "Norme des valeurs propres de R : 1.0  et  1.0 \n",
+      "\n",
+      "Vecteurs propres de R :\n",
+      " [[0.707+0.j    0.707-0.j   ]\n",
+      " [0.   -0.707j 0.   +0.707j]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "def Rot(θ):\n",
+    "    return np.array([[np.cos(θ), -np.sin(θ)], [np.sin(θ), np.cos(θ)]])\n",
+    "\n",
+    "R = Rot(2*np.pi/10)\n",
+    "\n",
+    "R_valp, R_vecp = lin.eig(R)\n",
+    "print(\"Valeurs propres de R :\", R_valp,\"\\n\")\n",
+    "print(\"Norme des valeurs propres de R :\", lin.norm(R_valp[0]), \" et \", lin.norm(R_valp[1]), \"\\n\")\n",
+    "print(\"Vecteurs propres de R :\\n\", R_vecp)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Valeurs propres de R : [0.+1.j 0.-1.j] \n",
+      "\n",
+      "Vecteurs propres de R :\n",
+      " [[0.707+0.j    0.707-0.j   ]\n",
+      " [0.   -0.707j 0.   +0.707j]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "# regardons un autre angle\n",
+    "R = Rot(np.pi/2)\n",
+    "\n",
+    "R_valp, R_vecp = lin.eig(R)\n",
+    "print(\"Valeurs propres de R :\", R_valp,\"\\n\")\n",
+    "print(\"Vecteurs propres de R :\\n\", R_vecp)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "On constate que\n",
+    "    \n",
+    "* les valeurs propres et vecteurs propres sont des complexes\n",
+    "* les valeurs propres sont de norme 1 (normal puisque c'est une isométrie)\n",
+    "* l'angle de rotation θ se retrouve dans les valeurs propres  $ v_p = e^{\\pm \\,i\\, θ}$\n",
+    "\n",
+    "C'est le second point qui fait qu'aucun des vecteurs propre ne peut prendre l'ascendant et qu'on ne retrouve pas\n",
+    "l'alignement des points de notre figure le long du premier vecteur propre."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "((0.9510565162951535+0.3090169943749474j),\n",
+       " (0.9510565162951535+0.3090169943749474j),\n",
+       " (0.9510565162951535-0.3090169943749474j))"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "θ = np.pi / 10\n",
+    "R = Rot(θ)\n",
+    "R_valp, R_vecp = lin.eig(R)\n",
+    "np.e**(0+1j * θ), R_valp[0], R_valp[1]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Symétrie axiale horizontale\n",
+    "\n",
+    "Sx = \n",
+    "$\n",
+    "\\begin{bmatrix}\n",
+    "1 & 0 \\\\\n",
+    "0 & -1  \\\\\n",
+    "\\end{bmatrix}\n",
+    "$\n",
+    "\n",
+    "Là c'est simple puisque la matrice est diagonale, donc ses valeurs propres sont les valeurs de la diagonales.\n",
+    "Elles ont la même norme donc pas d'alignement des points dans la direction du premier vecteur propre."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Valeurs propres de Sx : [ 1.+0.j -1.+0.j] \n",
+      "\n",
+      "Vecteurs propres de Sx :\n",
+      " [[1. 0.]\n",
+      " [0. 1.]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "Sx = np.array([[1, 0], [0, -1]])\n",
+    "\n",
+    "Sx_valp, Sx_vecp = lin.eig(Sx)\n",
+    "print(\"Valeurs propres de Sx :\", Sx_valp,\"\\n\")\n",
+    "print(\"Vecteurs propres de Sx :\\n\", Sx_vecp)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Une matrice diagonale ne modifie que la i-ième coordonnée de **x** par la i-ème valeur de sa diagonale. Aussi ses vecteurs propres sont ceux de la base d'origine."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[4, 0, 0, 0, 0],\n",
+       "       [0, 7, 0, 0, 0],\n",
+       "       [0, 0, 9, 0, 0],\n",
+       "       [0, 0, 0, 8, 0],\n",
+       "       [0, 0, 0, 0, 6]])"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "D = np.diag(np.random.randint(10,size=5))\n",
+    "D"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Valeurs propres de D : [4.+0.j 7.+0.j 9.+0.j 8.+0.j 6.+0.j] \n",
+      "\n",
+      "Vecteurs propres de D :\n",
+      " [[1. 0. 0. 0. 0.]\n",
+      " [0. 1. 0. 0. 0.]\n",
+      " [0. 0. 1. 0. 0.]\n",
+      " [0. 0. 0. 1. 0.]\n",
+      " [0. 0. 0. 0. 1.]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "D_valp, D_vecp = lin.eig(D)\n",
+    "print(\"Valeurs propres de D :\", D_valp,\"\\n\")\n",
+    "print(\"Vecteurs propres de D :\\n\", D_vecp)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Diagonalisation d'une matrice\n",
+    "\n",
+    "On voit l'importance des valeurs et vecteurs propres pour caractériser une application linéaire. En fait ils sont tellement\n",
+    "important qu'en appliquant le bon changement de repère, l'application est représentée par une matrice diagonale\n",
+    "contenant les valeurs propres. \n",
+    "\n",
+    "$$\n",
+    "\\exists P \\; / \\; A = P\\, \\Lambda \\, P^{-1} \\quad \\textrm{avec } \\Lambda \\textrm{ la matrice diagonale des valeurs propres } \\lambda_i\n",
+    "$$\n",
+    "\n",
+    "La matrice de passage $P$ représente la nouvelle base donc sans surprise il s'agit des vecteurs propres. \n",
+    "\n",
+    "Vérifions le avec A :"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "A :\n",
+      " [[3 1]\n",
+      " [0 2]] \n",
+      "\n",
+      "𝑃 Λ inv(𝑃) :\n",
+      " [[3.+0.j 1.+0.j]\n",
+      " [0.+0.j 2.+0.j]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print('A :\\n', A, '\\n')\n",
+    "print('𝑃 Λ inv(𝑃) :\\n', vec_propre @ np.diag(val_propre) @ lin.inv(vec_propre))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Ainsi la formule pour obtenir la diagonalisation de A est $\\; \\Lambda  = P^{-1} \\, A \\, P\\;$  lorsqu'on connait ses\n",
+    "vecteurs propres (en pratique si on a les vecteurs propres on a aussi les valeurs propres et donc la diagonalisation de A)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "P :\n",
+      " [[ 1.    -0.707]\n",
+      " [ 0.     0.707]] \n",
+      "\n",
+      "inv(𝑃) A 𝑃 :\n",
+      " [[3. 0.]\n",
+      " [0. 2.]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print('P :\\n', vec_propre, '\\n')\n",
+    "print('inv(𝑃) A 𝑃 :\\n', lin.inv(vec_propre) @ A @ vec_propre)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "On retrouve nos 2 valeurs propres sur la diagonale."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "**Matrice inversible** Notons que si une des valeurs propres est nulle alors $\\Lambda$ n'est pas inversible et comme il s'agit de\n",
+    "la même application que A (dans un autre repère) alors A n'est pas inversible non plus.\n",
+    "\n",
+    "**Matrice non diagonalisable** Si l'ensemble des vecteurs propres ne génère pas un espace de la même dimension que d'origine (c.a.d. que 2 vecteurs propres sont colinéaires), alors on ne peut pas diagonaliser la matrice.\n",
+    "\n",
+    "**Matrice symétrique de réels** Dans ce cas il existe une matrice de passage orthogonale et la matrice diagonale des valeurs propres a toutes ses valeurs réelles.\n",
+    "\n",
+    "**Matrice symmétrique réelle définie positive** (c.a.d. $\\forall {\\bf x} \\in ℝ^n, \\; {\\bf x}^T\\, A \\, {\\bf x} > 0$) a toutes ses valeurs propres strictement positives."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ]
+}
\ No newline at end of file