function echelonner()
{
global $matA;
global $matY;
$k = 0;
while (!isFinished($matA[count($matA) - 1]) && $k != count($matA) - 1) {
$matG = initG($matA);
if ($matA[$k][$k] === 0) {
for ($i = $k + 1; $i < count($matA); $i++) {
if ($matA[$i][$k] != 0) {
$matA[$k] = $matA[$i];
$matY[$k] = $matY[$i];
break;
}
}
}
for ($i = $k + 1; $i < count($matG); $i++) {
$matG[$i][$k] = -round($matA[$i][$k] / $matA[$k][$k], 2);
}
$matA = multMatrices($matG, $matA);
$matY = multMatrices($matG, $matY);
$matA = roundMatrice($matA);
$matY = roundMatrice($matY);
echo printMatrice($matG, "matG" . ($k + 1), "G" . ($k + 1));
echo printMatrice($matA, "matA" . ($k + 2), "A" . ($k + 2));
echo printMatrice($matY, "matY" . ($k + 2), "Y" . ($k + 2));
$k++;
}
}
include_once 'Polynome.php';
$time_start = microtime(true);
echo "<div class='row' style='text-align: center;'>";
$I3 = [[1, 0, 0], [0, 1, 0], [0, 0, 1]];
$A = parseMatrice($_POST);
echo printMatrice($A, "matriceF0", "A");
$trA = trace($A);
$matF0tmp = multMatriceNumber($I3, $trA);
$matF0tmp2 = subMatrices($A, $matF0tmp);
$F1 = multMatrices($A, $matF0tmp2);
echo printMatrice($F1, "F1", "F1");
$trF1 = trace($F1) / 2;
$matF1tmp = multMatriceNumber($I3, $trF1);
$matF1tmp2 = subMatrices($F1, $matF1tmp);
$F2 = multMatrices($A, $matF1tmp2);
echo printMatrice($F2, "F2", "F2");
$trF2 = trace($F2) / 3;
echo "</div>";
$monomeCube = new Monome(-1, 3);
$monomeCarre = new Monome($trA, 2);
$monomeSimple = new Monome($trF1, 1);
$monomeZero = new Monome($trF2, 0);
$PA = new Polynome(array($monomeCube, $monomeCarre, $monomeSimple, $monomeZero));
$racines = racines($PA);
echo "<div class='panel panel-warning'>" . "<div class='panel-heading'>" . "<h2 class='panel-title'>Polynôme</h2></div>" . "<div class='panel-body'><h3><strong>" . $PA . "</strong></h3></div></div>";
echo "<div class='panel panel-info'><div class='panel-heading'><h2 class='panel-title'>Racines</h2></div><div class='panel-body'>";
if (count($racines) == 1) {
$res = factorizeOne($PA, $racines[0]);
$factorise = $res["factorise"];
$factorise2 = $res["factorise2"];
$verif = $res["verification"];
<link rel="stylesheet" type="text/css" href="../css/bootstrap-spacelab.min.css">
<link rel="stylesheet" href="../css/maths.css">
</head>
<body>
<div class='jumbotron'>
<h1>Le résultat de la trace !</h1>
</div>
<main>
<?php
/**
* @Author: cnicolas
* @Date: 2014-08-05 16:55:42
* @Last Modified by: cnicolas
* @Last Modified time: 2015-07-08 16:20:26
*/
include 'fonctions.php';
$matA = parseMatrice($_POST, "A");
$res = 0;
for ($i = 0; $i < sizeof($matA); $i++) {
$res += $matA[$i][$i];
}
echo "<div class='col-sm-2'><h2>Trace : </h2></div>";
echo printMatrice($matA, "matA", "A");
echo "<div class='col-sm-1'><h2>=</h2></div>";
echo "<div class=' col-sm-1'><h2>" . $res . "</h2></div>\n";
?>
</main>
<script type="text/javascript" src="../js/jquery-2.1.1.min.js"></script>
<script type="text/javascript" src="../js/bootstrap.min.js"></script>
</body>
</html>
</head>
<body>
<div class='jumbotron'>
<h1>Le résultat de la transposée !</h1>
</div>
<main>
<?php
/**
* @Author: cnicolas
* @Date: 2014-08-05 16:39:26
* @Last Modified by: cnicolas
* @Last Modified time: 2015-07-02 11:34:04
*/
include 'fonctions.php';
$matA = parseMatrice($_POST, "A");
$matRes;
for ($i = 0; $i < sizeof($matA); $i++) {
for ($j = 0; $j < sizeof($matA[0]); $j++) {
$matRes[$j][$i] = $matA[$i][$j];
}
}
echo "<div class='col-sm-2'></div>";
echo printMatrice($matA, "matA", "A");
echo "<div class='col-sm-1'><h2>=</h2></div>";
echo printMatrice($matRes, "matRes", "Transposée");
?>
</main>
<script type="text/javascript" src="../js/jquery-2.1.1.min.js"></script>
<script type="text/javascript" src="../js/bootstrap.min.js"></script>
</body>
</html>
<h1>Le résultat de la somme !</h1>
</div>
<main>
<?php
/**
* @Author: cnicolas
* @Date: 2014-08-05 12:09:51
* @Last Modified by: cnicolas
* @Last Modified time: 2015-07-02 11:34:06
*/
include 'fonctions.php';
$matA = parseMatrice($_POST, "A");
$matB = parseMatrice($_POST, "B");
echo printMatrice($matA, "matA", "A");
echo "<div class='col-sm-1'><h2>+</h2></div>";
echo printMatrice($matB, "matB", "B");
echo "<div class='col-sm-1'><h2>=</h2></div>";
echo "<div class='mat col-sm-3'>\n";
echo "<label for='res'>Resulat</label>\n";
echo "<table id='res' class='matrice table-bordered'>\n";
for ($i = 0; $i < sizeof($matA); $i++) {
echo "<tr>\n";
for ($j = 0; $j < sizeof($matA[$i]); $j++) {
echo "<td class='casemat'>" . ($matA[$i][$j] + $matB[$i][$j]) . "</td>\n";
}
echo "</tr>\n";
}
echo "</table>\n";
echo "</div>\n";
?>
</main>
<title>Projet Matrices</title> <link rel="stylesheet" type="text/css" href="../css/bootstrap-spacelab.min.css"> <link rel="stylesheet" href="../css/maths.css"> </head> <body> <div class='jumbotron'> <h1>Le résultat du produit !</h1> </div> <main> <?php /** * @Author: cnicolas * @Date: 2014-08-05 15:56:30 * @Last Modified by: cnicolas * @Last Modified time: 2015-07-08 16:23:46 */ include 'fonctions.php'; $matA = parseMatrice($_POST, "A"); $matB = parseMatrice($_POST, "B"); $matRes = multMatrices($matA, $matB); echo printMatrice($matA, "matA", "A"); echo "<div class='col-sm-1'><h2>*</h2></div>"; echo printMatrice($matB, "matB", "B"); echo "<div class='col-sm-1'><h2>=</h2></div>"; echo printMatrice($matRes, "matRes", "Resultat"); ?> </main> <script type="text/javascript" src="../js/jquery-2.1.1.min.js"></script> <script type="text/javascript" src="../js/bootstrap.min.js"></script> </body> </html>
