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Reduced row echelon form: Difference between revisions
→{{header|Ruby}}
m (→{{header|Maxima}}: was wrong) |
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Line 2,593:
=={{header|Ruby}}==
{{works with|Ruby|1.9.3}}
<lang ruby># returns an 2-D array where each element is a Rational▼
▲# returns an 2-D array where each element is a Rational
def reduced_row_echelon_form(ary)
lead = 0
rows = ary.size
cols = ary[0].size
rary =
catch :done do
rows.times do |r|
Line 2,617 ⟶ 2,616:
# normalize row r
v = rary[r][lead]
rary[r].collect! {|x| x /
# reduce other rows
rows.times do |i|
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end
# type should be one of :to_s, :to_i, :to_f, :to_r▼
def convert_to(ary, type)▼
ary.
new <<
end
end
class Rational
▲# type should be one of :to_s, :to_i, :to_f, :to_r
alias _to_s to_s
▲def convert_to(ary, type)
denominator==1 ? numerator.to_s : _to_s
end
end
Line 2,650 ⟶ 2,646:
max = m[0].collect {-1}
m.each {|row| row.each_index {|i| max[i] = [max[i], row[i].to_s.length].max}}
m.each {|row| row.each_index {|i| print "%#{max[i]}s " % row[i]
end
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[-2, 0, -3, 22]
]
print_matrix
puts
mtx = [
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]
reduced = reduced_row_echelon_form(mtx)
print_matrix
print_matrix convert_to(reduced, :to_f)</lang>
<pre>1 0 0 -8 ▼
{{out}}
<pre>
0 1 0 1
0 0 1 -2
Line 2,676 ⟶ 2,675:
0 1 0 5/3
0 0 1 1
1.0 0.0 0.0 0.
0.0 1.0 0.0
0.0 0.0 1.0 1.0
</pre>
=={{header|Sage}}==
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