You can also try to patch the source of Math::Matrix, making it overload x for multiply_scalar. 
diff --git a/lib/perl5/Math/Matrix.pm b/lib/perl5/Math/Matrix.pm
index 0105845..1894a62 100644
--- a/lib/perl5/Math/Matrix.pm
+++ b/lib/perl5/Math/Matrix.pm
@@ -244,6 +244,7 @@ use strict;
 $VERSION = 0.8;

 use overload
+       'x'  => 'multiply_scalar',
        '~'  => 'transpose',
        '+'  => 'add',
        '-'  => 'subtract',

[download]

And then, voilą: 

use Math::Matrix;

my $m = 'Math::Matrix'->new([0, 1, 2],
                            [3, 4, 5],
                            [6, 7, 8]);
print $m x 2;

__END__
Output:
   0.00000    2.00000    4.00000
   6.00000    8.00000   10.00000
  12.00000   14.00000   16.00000

[download]

Update: A bit more clever change added to the wishlist. 

($q=q:Sq=~/;[c](.)(.)/;chr(-||-|5+lengthSq)`"S|oS2"`map{chr |+ord
}map{substrSq`S_+|`|}3E|-|`7**2-3:)=~y+S|`+$1,++print+eval$q,q,a,

[download]

In reply to Re^2: Math::Matrix - Error: Can't locate object method "transpose" by choroba
in thread Math::Matrix - Error: Can't locate object method "transpose" by SwaJime

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