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Test of Determinant routines
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Real matrix
X = [[-0.283885 0.56497 -1.0746 -0.732016 -0.869443]
[1.36446 -0.596145 2.36476 -2.10553 -0.0504762]
[0.906001 -1.19732 2.36508 -0.923457 0.799682]
[1.24942 -1.26756 1.22804 -1.89227 1.02849]
[1.55783 -0.300385 0.234136 -0.664315 -0.900489]]
det(X) = -3.35694
X = [[-0.227649 1.07507 1.12342 0.494639 -0.179719]
[-1.83729 -0.396638 1.46072 0.721932 0.549174]
[0.0511841 0.51065 -0.269572 0.246282 -0.808968]
[1.44132 1.10323 -1.00539 0.672038 -2.29735]
[-1.48058 0.910165 1.87195 -1.00149 -0.453797]]
det(X) = 3.4773
Complex matrix
X = [[0.1836-1.02371i -0.60769+0.0533137i 0.278311+0.598587i -0.0820166-0.351743i 0.836821-0.477303i]
[0.214321-0.98353i -0.121635-0.848777i -0.190616-0.13041i 0.221056+0.634561i -0.637571-1.24894i]
[0.261137+1.13396i -1.28903+0.562993i 0.0775548-0.185926i 0.0872567-0.29795i 0.339558+0.0234865i]
[-0.225782+1.07734i -0.0690923-0.822132i -0.664453+0.326851i 0.296357+0.901056i -0.181505-0.863075i]
[-0.884797+0.465648i 0.953281-0.128067i 0.600433-0.218791i -0.232511+0.964179i 0.621065-0.359776i]]
det(X) = 3.06712-4.24441i
X = [[0.61333+0.506973i 0.350946-0.839171i -0.431011-0.173918i 0.43428-0.328699i 0.289013+0.366511i]
[-0.295419+0.675185i 0.530681-0.233433i -0.666422-0.180822i -0.497205+0.369685i 0.840226+0.358469i]
[-0.475898+0.120633i -0.376251+0.957435i 0.135151+0.431443i 1.30784+0.644844i -0.553286+0.0173776i]
[-0.85725-0.0647025i 0.959656+0.279574i 0.735259+0.373431i -0.64014-0.467499i 0.166865+0.139432i]
[0.564002+0.646938i -0.165729-2.07819i -0.43385-0.288087i 0.248209-0.110927i -0.304968+1.67774i]]
det(X) = -0.534835-1.62956i
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