A symmetric matrix is a square matrix (same number of rows and columns) that is equal to its transpose. In this tutorial, I am giving a Symmetric Matrix example using the PHP program.
Symmetric Matrix Example Using PHP Program
Here is a PHP program, for checking where a matrix is symmetric or not:
<html>
<body>
<?php
echo "<b>The matrix is given below:-</b>"."<br>";
$a=array(array());
$b=array(array());
$c=array(array());
$rows=4;
$cols=4;
$m=1;
$n=1;
for($i=0;$i<$rows;$i=$i+1)
{
for($j=0;$j<$cols;$j=$j+1)
{
$a[$i][$j]=$m;
echo $a[$i][$j]." ";
$m=$m+1;
}
echo "<br>";
}
echo "<b>The transpose of the matrix is given below:-</b><br>";
for($i=0;$i<$rows;$i=$i+1)
{
for($j=0;$j<$cols;$j=$j+1)
{
$b[$i][$j]=$a[$j][$i];
echo $b[$i][$j]." ";
$n=$n*1;
}
echo "<br>";
}
$count=0;
for($i=0;$i<$rows;$i=$i+1)
{
for($j=0;$j<$cols;$j=$j+1)
{
if($a[$i][$j]==$b[$i][$j])
{
$count=$count+1;
}
}
}
if($count==$rows*$cols)
{
echo "Yes, the matrix is a symmetric matrix";
}
else
{
echo "The matrix is not a symmetric matrix";
}
?>
</body>
</html>Output:
The matrix is given below:- 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 The transpose of the matrix is given below:- 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 The matrix is not a symmetric matrix
In this program firstly we have created a matrix and then displayed the transpose of that matrix. After that, we have checked between values of each array element of two matrices and used a variable $count. Here using a condition (here $count==$rows*$cols), we have displayed the message "The matrix is not a symmetric matrix".
