Based on complex arithmetic for MX=B, for

| 1 + i , 2+i |
|.................| = A
| 1 -2i , 2-i |

| 3 + i |
|.........| = X
| 2 + i |

then
| 5 + 8i |
|...........| = B and determinant of A = -1 + 4j
| 10 - 5i |

However, when I try to calculate the determinant and / or the inverse of A in the code below to solve for X, the results are not at all what are to be expected. Please can you identify what I'm missing. Thanks. 

#! /usr/bin/perl -w
use strict;    
use CGI::Carp qw(warningsToBrowser fatalsToBrowser); 
use CGI qw(:standard escapeHTML);    
use PDL;
use PDL::Complex;

my $matrixM = pdl [ [ 1+1*i, 2+1*i],[ 1-2*i, 2-1*i] ];
my $matrixB = pdl [ 5+8*i, 10-5*i ];
my $matrixX = pdl [ ];

print header (), start_html (-title => "Matrix Ops");
print "<H1><center>Via Perl Data Language</center></H1><br>\n";


print "\$matrixM = ", $matrixM,"<br>\n";
print "determinant of \$matrixM = ",$matrixM->det,"<br>\n";
print "inverse of \$matrixM = ",$matrixM->det,"<br>\n";
print "\$matrixB = ", $matrixB,"<br>\n";
print "\$matrixX = ", $matrixM->inv x $matrixB,"<br>\n";

print end_html ();
exit(0);

[download]

In reply to PDL works for real number matrix operations, but not working for complex number matrix operations. by gmacfadden

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.