From Math::MatrixReal:

$matrix->swap_col( $col1, $col2 ); This method takes two one-based column numbers and swaps the values of each element in each column. $matrix->swap_col(2,3) would replace column 2 in $matrix with column 3, and replace column 3 with column 2.

So presumably you would get your desired result with (untested):

use Text::CSV;
use Math::MatrixReal;

my $mref = [
  [ 'a', 'b', 'c', 'd', 'e' ],
];

my $matrix = Math::MatrixReal->new_from_rows( $mref );

print $matrix;
# this will print   [ 'a', 'b', 'c', 'd', 'e' ]

# I want to reverse the order inside the matrix which I need later on 
+to do some more operations. Appreciate the help.
$matrix->swap_col(1,5);
$matrix->swap_col(2,4);
#Result: I want the result to be printed like below

# print $matrix =   [ 'e', 'd', 'c', 'b', 'a' ]
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There's also a swap_row method, depending on what you mean by 'reverese the order of matrix output'.