Kunze Linear Algebra · Problem 5.4.3

Determinants

Mathematics — Methods · skew-symmetric-determinant

Problem

An n×nn \times n matrix AA over a field FF is skew-symmetric if At=−AA^t = -A. If AA is a skew-symmetric n×nn \times n matrix with complex entries and nn is odd, prove that det⁡A=0\det A = 0.

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