diff --git "a/Chapitre 1 - Systemes equations lineaires/1.5-1.6. Matrices Echelonn\303\251es.ipynb" "b/Chapitre 1 - Systemes equations lineaires/1.5-1.6. Matrices Echelonn\303\251es.ipynb"
index 00061e9..84180c6 100644
--- "a/Chapitre 1 - Systemes equations lineaires/1.5-1.6. Matrices Echelonn\303\251es.ipynb"	
+++ "b/Chapitre 1 - Systemes equations lineaires/1.5-1.6. Matrices Echelonn\303\251es.ipynb"	
@@ -1,147 +1,235 @@
 {
  "cells": [
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
     "# Concept(s)-clé(s) et théorie\n",
     "\n",
     "TBA."
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
     "import Librairie.AL_Fct as al\n",
     "import numpy as np\n",
     "import ipywidgets as widgets\n",
     "import random\n",
     "\n",
     "from ipywidgets import interact, interactive, fixed, interact_manual"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
     "### **Exercice 1**\n",
     "\n",
     "À l'aide des opérations élémentaires, échelonner et réduire les matrices ci-dessous.\n",
     "\n",
     "$$\n",
     "\\begin{pmatrix}\n",
     "2 & -1\\\\\n",
     "1 &2\n",
     "\\end{pmatrix}\\hskip2em\n",
     "\\begin{pmatrix}\n",
     "\\dfrac{1}{2} & 3 & 0\\\\\n",
     "2 & -4 & 6\\\\\n",
     "1 & 3 &-1\n",
     "\\end{pmatrix}\\hskip2em\n",
     "\\begin{pmatrix}\n",
     "1 & 0 &1\\\\\n",
     "0 & 1 & -1\\\\\n",
     "1 & 1 &-1\n",
     "\\end{pmatrix}\n",
     "$$"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
-    "A=[[2,-1], [1,2]]"
+    "A=[[1,0,1], [0,1,-1],[1,1,-1]]"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
     "print('Vous allez échelonner la matrice')\n",
     "al.printA(A)\n",
     "[i,j,r,alpha]= al.manualEch(A)\n",
-    "MatriceList=[A]\n",
-    "m=np.matrix(A)\n",
-    "print('executez la ligne suivante pour effectuer l\\'opération choisie')"
+    "MatriceList=[np.array(A)]\n",
+    "m=np.array(A)\n",
+    "print('\\033[1mExecutez la ligne suivante pour effectuer l\\'opération choisie \\033[0m')"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
-    "m=al.echelonnage(i,j,r,alpha,A,m,MatriceList)"
+    "m=al.echelonnage(i, j, r, alpha, A, m, MatriceList)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### **Exercice 2**\n",
+    "\n",
+    "À l'aide des opérations élémentaires, échelonner et réduire les matrices (augmentée) ci-dessous.\n",
+    "\n",
+    "$$A=\n",
+    "\\begin{pmatrix}\n",
+    "2 & -1\\\\\n",
+    "1 &2\n",
+    "\\end{pmatrix}\\hskip1em\n",
+    "b=\n",
+    "\\begin{pmatrix}\n",
+    "1\\\\\n",
+    "2\n",
+    "\\end{pmatrix}\\hskip4em\n",
+    "A=\n",
+    "\\begin{pmatrix}\n",
+    "\\dfrac{1}{2} & 3 & 0\\\\\n",
+    "2 & -4 & 6\\\\\n",
+    "1 & 3 &-1\n",
+    "\\end{pmatrix}\\hskip1em\n",
+    "b=\n",
+    "\\begin{pmatrix}\n",
+    "1\\\\\n",
+    "2\\\\\n",
+    "-1\n",
+    "\\end{pmatrix}\\hskip4em\n",
+    "A=\n",
+    "\\begin{pmatrix}\n",
+    "1 & 0 &1\\\\\n",
+    "0 & 1 & -1\\\\\n",
+    "1 & 1 &-1\n",
+    "\\end{pmatrix}\\hskip1em\n",
+    "b=\n",
+    "\\begin{pmatrix}\n",
+    "1\\\\\n",
+    "0\\\\\n",
+    "-1\n",
+    "\\end{pmatrix}\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "A=[[1,1,1], [1,1,1],[1,1,1]]\n",
+    "b =[[1], [1], [1]]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "print('Vous allez échelonner la matrice augmenteé')\n",
+    "al.printAAug(A,b)\n",
+    "[i,j,r,alpha]= al.manualEch(A)\n",
+    "MatriceList=[np.array(A)]\n",
+    "RHSList = [np.array(b)]\n",
+    "m=np.concatenate((A,b), axis=1)\n",
+    "print('\\033[1mExecutez la ligne suivante pour effectuer l\\'opération choisie \\033[0m')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "m=al.echelonnage(i, j, r, alpha, A, m, MatriceList, RHSList)"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
     "### **VERIFICATION**\n",
     "À l'aide des cellules ci-dessous, vous pouvez entrer la matrice (des coefficients ou augmentée) de votre choix et obtenir une forme échelonnée et sa forme échelonnée réduite.\n",
     "\n",
     "Pour **les formes échelonnées** on utilise la syntaxe suivante\n",
     "\n",
     "1. Pour la matrice $A$ : al.echelonMat('E', A)\n",
     "2. Pour la matrice augmentée $(A | b)$ : al.echelonMat('E', A, b)\n",
     "\n",
     "Pour obenir **les formes échelonnées réduites** mettez 'ER' au lieu de 'E'"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
-    "A=[[1,2,3,4], [5,6,7,8], [9,10,11,12]]\n",
-    "b=[[-1],[-2],[-3]]"
+    "A=[[1,1], [1,1]]\n",
+    "b=[[1], [1]]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "M=al.echelonMat('E',A,b)"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
-    "M=al.echelonMat('ER',A,b)"
+    "M"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": []
   }
  ],
  "metadata": {
   "kernelspec": {
    "display_name": "Python 3",
    "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": "3.6.8"
+   "version": "3.7.4"
   }
  },
  "nbformat": 4,
  "nbformat_minor": 4
 }