4x4 Matrix Solver (Multiplication)

kaitokid41 · February 22, 2012

Good day, guys... it seems I'm messing up my algorithm to multiply two(2) 4x4 Matrix and put it in a table. Can somebody point out what's wrong with my code? THANKS IN ADVANCE!!!

Here's the situation. I'm getting values from two(2) 4x4 tables, multiply them, and store them in another table. Here's the "math" part of my code:

 <?php

	echo "<br/><br/><br/><br/><br/><br/><br/><br/><br/>";


$i=0;


	for($row = 0; $row < 4; $row++){



		for($column = 0; $column < 4; $column++){

			 $sum = 0;
			 for($ctr = 0; $ctr < 4; $ctr++){

			 	$sum = $sum + ($cell[$i][$row][$ctr] * $cell[$i+1][$ctr][$row]);					

			 }

			 $sol[$i][$row][$column] = $sum;
			              					
		}


	}



?>

<table width="50" border="5" align = "left" cellpadding="5">
  			<tr>
    			<td><?php echo $sol[$i][0][0] ?></td>
    			<td><?php echo $sol[$i][0][1] ?></td>
    			<td><?php echo $sol[$i][0][2] ?></td>
    			<td><?php echo $sol[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $sol[$i][1][0] ?></td>
    			<td><?php echo $sol[$i][1][1] ?></td>
    			<td><?php echo $sol[$i][1][2] ?></td>
    			<td><?php echo $sol[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $sol[$i][2][0] ?></td>
    			<td><?php echo $sol[$i][2][1] ?></td>
    			<td><?php echo $sol[$i][2][2] ?></td>
    			<td><?php echo $sol[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $sol[$i][3][0] ?></td>
    			<td><?php echo $sol[$i][3][1] ?></td>
    			<td><?php echo $sol[$i][3][2] ?></td>
    			<td><?php echo $sol[$i][3][3] ?></td>
  			</tr>
		</table>

requinix · February 22, 2012

That's not all your code. Can you post the whole thing?

sasa · February 23, 2012

change

$sum = $sum + ($cell[$i][$row][$ctr] * $cell[$i+1][$ctr][$row]);

to

$sum = $sum + ($cell[$i][$row][$ctr] * $cell[$i+1][$ctr][$column]);

kaitokid41 · February 23, 2012

change

$sum = $sum + ($cell[$i][$row][$ctr] * $cell[$i+1][$ctr][$row]);

to

$sum = $sum + ($cell[$i][$row][$ctr] * $cell[$i+1][$ctr][$column]);

THANKS! So that's why it gives the wrong solution. I multiplied it in the with the wrong row/column! THANK YOU SO MUCH!!!

That's not all your code. Can you post the whole thing?

Sure, cuz I need help for something more than just this. Hehe. Here's my code. After that multiplication, I should copy the succeeding 4 matrices and place it beside my solution. Then I multiply the first 2 again, until one matrix is left. Any idea how will I do it? By the way, here's the 'string':

rotx(90);trans(2,1,-1);roty(90);rotz(90);trans(1,-1,2);roty(90)

...THANKS!

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title>Matrix Solver</title>
</head>

<body>

<?php
$transformation = $_POST['string'];



$transbits = explode(";",$transformation);

for($i=0; $i<count($transbits);$i++){

	if(strcmp(substr($transbits[$i],0,5),"trans")==0){

		preg_match('#\((.*?)\)#', $transbits[$i], $match);
		$extrans = explode(",",$match[1]);			 
		?>
            
             
		<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = 1; echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = 0; echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = 0; echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = $extrans[0]; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = 0; echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = 1; echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = 0; echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = $extrans[1]; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = 0; echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = 0; echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = 1; echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = $extrans[2]; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>            			 
<?php		

	}

	else if(strcmp(substr($transbits[$i],0,3),"rot")==0){

		preg_match('#\((.*?)\)#', $transbits[$i], $match);
		//echo "$match[1] <br/>";

		if (strcmp(substr($transbits[$i],3,1),"x")==0){
	?>		

			<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = 1; echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = 0; echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = 0; echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = 0; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = 0; echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = intval(cos(deg2rad($match[1]))); echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = intval(-sin(deg2rad($match[1]))); echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = 0; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = 0; echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = intval(sin(deg2rad($match[1]))); echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = intval(cos(deg2rad($match[1]))); echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = 0; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>    


	<?php		

		}

		else if (strcmp(substr($transbits[$i],3,1),"y")==0){


	?>
        
        	<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = intval(cos(deg2rad($match[1]))); echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = 0; echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = intval(sin(deg2rad($match[1]))); echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = 0; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = 0; echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = 1; echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = 0; echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = 0; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = intval(-sin(deg2rad($match[1]))); echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = 0; echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = intval(cos(deg2rad($match[1]))); echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = 0; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>    
        
        
        
        
        
        
        <?php	
		}

		else if (strcmp(substr($transbits[$i],3,1),"z")==0){
	?>	

			<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = intval(cos(deg2rad($match[1]))); echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = intval(-sin(deg2rad($match[1]))); echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = 0; echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = 0; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = intval(sin(deg2rad($match[1]))); echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = intval(cos(deg2rad($match[1]))); echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = 0; echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = 0; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = 0; echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = 0; echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = 1; echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = 0; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>    



	<?php		
		}


	}

}

	?>



<?php

	echo "<br/><br/><br/><br/><br/><br/><br/><br/><br/>";


$i=0;


	for($row = 0; $row < 4; $row++){



		for($column = 0; $column < 4; $column++){

			 $sum = 0;
			 for($ctr = 0; $ctr < 4; $ctr++){

			 	$sum = $sum + ($cell[$i][$row][$ctr] * $cell[$i+1][$ctr][$column]);					

			 }

			 $sol[$i][$row][$column] = $sum;
			              					
		}


	}



?>

<table width="50" border="5" align = "left" cellpadding="5">
  			<tr>
    			<td><?php echo $sol[$i][0][0] ?></td>
    			<td><?php echo $sol[$i][0][1] ?></td>
    			<td><?php echo $sol[$i][0][2] ?></td>
    			<td><?php echo $sol[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $sol[$i][1][0] ?></td>
    			<td><?php echo $sol[$i][1][1] ?></td>
    			<td><?php echo $sol[$i][1][2] ?></td>
    			<td><?php echo $sol[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $sol[$i][2][0] ?></td>
    			<td><?php echo $sol[$i][2][1] ?></td>
    			<td><?php echo $sol[$i][2][2] ?></td>
    			<td><?php echo $sol[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $sol[$i][3][0] ?></td>
    			<td><?php echo $sol[$i][3][1] ?></td>
    			<td><?php echo $sol[$i][3][2] ?></td>
    			<td><?php echo $sol[$i][3][3] ?></td>
  			</tr>
		</table>    




</body>
</html>

kaitokid41 · February 23, 2012

HI! I'm almost finished with my code. And I need one last help. I don't think I'm doing this correctly in the 2nd iteration when $i = 1? And how Do I get rid of the last (unnecessary and empty) matrix? THANKS!

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title>Matrix Solver</title>
</head>

<body>

<?php
$transformation = $_POST['string'];



$transbits = explode(";",$transformation);

for($i=0; $i<count($transbits);$i++){

	if(strcmp(substr($transbits[$i],0,5),"trans")==0){

		preg_match('#\((.*?)\)#', $transbits[$i], $match);
		$extrans = explode(",",$match[1]);			 
		?>
            
             
		<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = 1; echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = 0; echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = 0; echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = $extrans[0]; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = 0; echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = 1; echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = 0; echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = $extrans[1]; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = 0; echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = 0; echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = 1; echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = $extrans[2]; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>            			 
<?php		

	}

	else if(strcmp(substr($transbits[$i],0,3),"rot")==0){

		preg_match('#\((.*?)\)#', $transbits[$i], $match);
		//echo "$match[1] <br/>";

		if (strcmp(substr($transbits[$i],3,1),"x")==0){
	?>		

			<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = 1; echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = 0; echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = 0; echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = 0; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = 0; echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = intval(cos(deg2rad($match[1]))); echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = intval(-sin(deg2rad($match[1]))); echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = 0; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = 0; echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = intval(sin(deg2rad($match[1]))); echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = intval(cos(deg2rad($match[1]))); echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = 0; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>    


	<?php		

		}

		else if (strcmp(substr($transbits[$i],3,1),"y")==0){


	?>
        
        	<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = intval(cos(deg2rad($match[1]))); echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = 0; echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = intval(sin(deg2rad($match[1]))); echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = 0; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = 0; echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = 1; echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = 0; echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = 0; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = intval(-sin(deg2rad($match[1]))); echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = 0; echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = intval(cos(deg2rad($match[1]))); echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = 0; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>    
        
        
        
        
        
        
        <?php	
		}

		else if (strcmp(substr($transbits[$i],3,1),"z")==0){
	?>	

			<table width="50" border="5" align="left" cellpadding="5">
  			<tr>
    			<td><?php $cell[$i][0][0] = intval(cos(deg2rad($match[1]))); echo $cell[$i][0][0] ?></td>
    			<td><?php $cell[$i][0][1] = intval(-sin(deg2rad($match[1]))); echo $cell[$i][0][1] ?></td>
    			<td><?php $cell[$i][0][2] = 0; echo $cell[$i][0][2] ?></td>
    			<td><?php $cell[$i][0][3] = 0; echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][1][0] = intval(sin(deg2rad($match[1]))); echo $cell[$i][1][0] ?></td>
    			<td><?php $cell[$i][1][1] = intval(cos(deg2rad($match[1]))); echo $cell[$i][1][1] ?></td>
    			<td><?php $cell[$i][1][2] = 0; echo $cell[$i][1][2] ?></td>
    			<td><?php $cell[$i][1][3] = 0; echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][2][0] = 0; echo $cell[$i][2][0] ?></td>
    			<td><?php $cell[$i][2][1] = 0; echo $cell[$i][2][1] ?></td>
    			<td><?php $cell[$i][2][2] = 1; echo $cell[$i][2][2] ?></td>
    			<td><?php $cell[$i][2][3] = 0; echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php $cell[$i][3][0] = 0; echo $cell[$i][3][0] ?></td>
    			<td><?php $cell[$i][3][1] = 0; echo $cell[$i][3][1] ?></td>
    			<td><?php $cell[$i][3][2] = 0; echo $cell[$i][3][2] ?></td>
    			<td><?php $cell[$i][3][3] = 1; echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>    



	<?php		
		}


	}

}

	?>



<?php

for($i=0; $i<count($transbits);$i++){

	echo "<br/><br/><br/><br/><br/><br/><br/><br/><br/>";	

	for($row = 0; $row < 4; $row++){



		for($column = 0; $column < 4; $column++){

			 $sum = 0;
			 for($ctr = 0; $ctr < 4; $ctr++){

			 	$sum = $sum + ($cell[$i][$row][$ctr] * $cell[$i+1][$ctr][$column]);					

			 }

			 $cell[$i][$row][$column] = $sum;
			              					
		}


	}
?>	

<table width="50" border="5" align = "left" cellpadding="5">
  			<tr>
    			<td><?php echo $cell[$i][0][0] ?></td>
    			<td><?php echo $cell[$i][0][1] ?></td>
    			<td><?php echo $cell[$i][0][2] ?></td>
    			<td><?php echo $cell[$i][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $cell[$i][1][0] ?></td>
    			<td><?php echo $cell[$i][1][1] ?></td>
    			<td><?php echo $cell[$i][1][2] ?></td>
    			<td><?php echo $cell[$i][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $cell[$i][2][0] ?></td>
    			<td><?php echo $cell[$i][2][1] ?></td>
    			<td><?php echo $cell[$i][2][2] ?></td>
    			<td><?php echo $cell[$i][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $cell[$i][3][0] ?></td>
    			<td><?php echo $cell[$i][3][1] ?></td>
    			<td><?php echo $cell[$i][3][2] ?></td>
    			<td><?php echo $cell[$i][3][3] ?></td>
  			</tr>
		</table>
            
  <?php 
  
	for($j=$i+2; $j<(count($transbits));$j++){ 

  
  
  			
  ?>          
            
      
            
            
            <table width="50" border="5" align = "left" cellpadding="5">
  			<tr>
    			<td><?php echo $cell[$j][0][0] ?></td>
    			<td><?php echo $cell[$j][0][1] ?></td>
    			<td><?php echo $cell[$j][0][2] ?></td>
    			<td><?php echo $cell[$j][0][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $cell[$j][1][0] ?></td>
    			<td><?php echo $cell[$j][1][1] ?></td>
    			<td><?php echo $cell[$j][1][2] ?></td>
    			<td><?php echo $cell[$j][1][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $cell[$j][2][0] ?></td>
    			<td><?php echo $cell[$j][2][1] ?></td>
    			<td><?php echo $cell[$j][2][2] ?></td>
    			<td><?php echo $cell[$j][2][3] ?></td>
  			</tr>
  			<tr>
    			<td><?php echo $cell[$j][3][0] ?></td>
    			<td><?php echo $cell[$j][3][1] ?></td>
    			<td><?php echo $cell[$j][3][2] ?></td>
    			<td><?php echo $cell[$j][3][3] ?></td>
  			</tr>
		</table>   	

    
    		

<?php		
	}










}

?>

  




</body>
</html>

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4x4 Matrix Solver (Multiplication)

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