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Let V be a finite dimensional vector space over F. Let T L(V ) be… Let V be a finite dimensional vector space over F. Let T ? L(V ) be an operator such that T* = -T (these operators are sometimes called skew-adjoint). Prove that if ? is an eigenvalue of T, then ? = 0 + bi for some b ? C., i.e., ? has no real part.  Math Linear Algebra MATH 2R03

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