Sorting with respect to the first column is a bit more involved compared to your code, see below. Sorting only part of the array can be achieved using array slices:
@AoA = (
[ 0.5, "b1", "c0" ],
[ 0.4, "b1", "c1" ],
[ 0.7, "b2", "c2" ],
[ 0.3, "b3", "c3" ],
[ 0.6, "b3", "c4" ],
);
@AoA[2..$#AoA] = sort { $a->[0] <=> $b->[0] } @AoA[2..$#AoA];
print Dumper \@AoA;
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