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+{
+"cells": [
+ {
+		   "cell_type": "markdown",
+	   "metadata": {},
+	   "source": [
+       "# Chapter 12: Algebraic Systems"
+	   ]
+	},
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 12.17: Roots_of_polynomial.sci"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"t=poly(0,'t');\n",
+"f=t^3+t^2-8*t+4\n",
+"g=factors(f)\n",
+"disp(r=roots(f),'roots of f(t) are as follows:')\n",
+"\n",
+"t=poly(0,'t');\n",
+"h=t^4-2*t^3+11*t-10\n",
+"disp(r=roots(h),'the real roots of h(t) are 1 and -2')"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 12.18: Roots_of_polynomial.sci"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"t=poly(0,'t');\n",
+"f=t^4-3*t^3+6*t^2+25*t-39\n",
+"g=factors(f)\n",
+" disp(r=roots(f),'roots of f(t) are as follows:')"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 12.4: Properties_of_operations.sci"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"a=(8-4)-3\n",
+"b=8-(4-3)\n",
+"disp('since a and b are not equal so subtraction is non-commutative on Z(set of integers)')\n",
+"\n",
+"a=[1 2;3 4]\n",
+"b=[5 6;0 -2]\n",
+"g= a*b\n",
+"k= b*a\n",
+"disp('since g and k are not equal matrix multiplication is non-commutative')\n",
+"\n",
+"h=(2^2)^3\n",
+"j=2^(2^3)\n",
+"disp('since h and j are not equal so exponential operation is non associative on the set of positive integers N')"
+   ]
+   }
+],
+"metadata": {
+		  "kernelspec": {
+		   "display_name": "Scilab",
+		   "language": "scilab",
+		   "name": "scilab"
+		  },
+		  "language_info": {
+		   "file_extension": ".sce",
+		   "help_links": [
+			{
+			 "text": "MetaKernel Magics",
+			 "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+			}
+		   ],
+		   "mimetype": "text/x-octave",
+		   "name": "scilab",
+		   "version": "0.7.1"
+		  }
+		 },
+		 "nbformat": 4,
+		 "nbformat_minor": 0
+}