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Matrix od order n

Task number: 2599

Calculate the determinant of the following real matrix

(12345…n−10234…n−1−1−2034…n−1−1−2−304…n−1−1−2−3−40…n−1⋮⋮⋮⋮⋱−1−2−3−4…1−n0).

  • Resolution

    We add the first row to all remaining ones.

  • Result

    The determinant of the matrix is n!.

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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