附PHP程序：
【行列式化简器】
<?php
function printDet($det, $newline = true, $color = NULL) {
$size = count($det);
if (!is_null($color)) {
$color = sprintf(' style="color:#%06X;border-color:#%06X"', $color, $color);
}
echo "<div class=\"determinant\"$color>";
for ($i = 0; $i < $size; $i++) {
for ($j = 0; $j < $size; $j++) {
if ($j == $size - 1) {
echo $det[$i][$j];
} else {
echo str_replace(' ', ' ', sprintf('%-5d', $det[$i][$j]));
}
}
echo '<br>';
}
echo '</div>';
if ($newline) {
echo '<br>';
}
}
?>
<!doctype html>
<html>
<head>
<meta charset="utf-8">
<title>Determinant</title>
<style>
.determinant {
border-left: 1px solid black;
border-right: 1px solid black;
padding: 0px 3px 0px 3px;
display: inline-block;
margin: 0px 10px 4px 2px;
}
</style>
</head>
<body>
<?php
$det = array();
/*$det[0] = array(6, 8, 5);
$det[1] = array(5, 19, 6);
$det[2] = array(3, 1, 7);*/
$det[0] = array(1, 7, 4, 6, 8);
$det[1] = array(4, 3, 5, 7, 1);
$det[2] = array(2, 3, 5, 9, 2);
$det[3] = array(8, 6, 4, 5, 3);
$det[4] = array(8, 2, 9, 1, 7);
/*$det[0] = array(1, 2, 3, 4, 5);
$det[1] = array(6, 7, 8, 9, 10);
$det[2] = array(11, 12, 13, 14, 15);
$det[3] = array(16, 17, 18, 19, 20);
$det[4] = array(21, 22, 23, 24, 25);*/
printDet($det);
$size = count($det);
$divideBy = 1;
for ($i = 0; $i < $size - 1; $i++) {
for ($j = $i + 1; $j < $size; $j++) {
$value1 = $det[$i][$i];
$value2 = $det[$j][$i];
$row = $det[$i];
foreach ($row as $k => $v) {
$row[$k] = $v * $value2;
}
foreach ($det[$j] as $k => $v) {
$det[$j][$k] = $v * $value1 - $row[$k];
}
if ($value1 != 0) {
$divideBy *= $value1;
}
if ($i + 1 == $size - 1 && $j + 1 == $size) {
echo '<br>';
} else {
if ($divideBy != 1) {
echo "(1/$divideBy)";
}
printDet($det, false, 0xff1122);
}
}
}
if ($divideBy != 1) {
echo "(1/$divideBy)";
}
printDet($det);
$result = 1;
for ($i = 0; $i < $size; $i++) {
$result *= $det[$i][$i];
}
if ($divideBy == 0) {
$result = 0;
} else {
$result /= $divideBy;
}
echo "<b>Result:</b> $result";
?>
</body>
</html>
