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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

2 votes

Invertibility of one matrix constructed by order n subgroup of symmetric group

The answer is no. Consider the subgroup generated by (1243). The matrix you have will be cyclic. See Determinant of cyclic matrix, proof without eigenvectors for a discussion of the determinant. It is …
Yanlong Hao's user avatar