det←{⎕IO ⎕ML←0 1            ⍝ Determinant of square matrix.
    ⍺←1                     ⍝ product of co-factor coefficients so far
    0=n←≢⍵:⍺                ⍝ result for 0-by-0
    i j(⍴⍵)⊤{⍵⍳⌈/⍵}|,⍵     ⍝ row and column index of maximal element
    k←⍳n
    (⍺×⍵[i;j]ׯ1*i+j)∇ ⍵[k~i;k~j]-⍵[k~i;j]∘.×⍵[i;k~j]÷⍵[i;j]
}
code_colours

test script

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