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determinate.py

 1 # The authors of this work have released all rights to it and placed it
 2 # in the public domain under the Creative Commons CC0 1.0 waiver
 3 # (http://creativecommons.org/publicdomain/zero/1.0/).
 4 # 
 5 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
 6 # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
 7 # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
 8 # IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
 9 # CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
10 # TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
11 # SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
12 # 
13 # Retrieved from: http://en.literateprograms.org/Determinate_(Python)?oldid=19482
14 
15 def determinate(matrix):
16     if len(matrix) == 2 and len(matrix[0]) == 2:
17         return matrix[0][0] * matrix[1][1]\
18              - matrix[0][1] * matrix[1][0]
19     else:
20         submatrices = map(lambda i: map(lambda vector: vector[1:],
21             matrix[:i] + matrix[i+1:]), [i for i in range(len(matrix))])
22         return sum(map(lambda submatrix: determinate(submatrix), submatrices))
23 


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