Set of normal operators on 2 dim complex vector space?

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For V a complex vector space of dim V >= 2, show that the set of normal operators is not a subspace.

2006-11-24 15:39:22 · 1 answers · asked by modulo_function 7 in Science & Mathematics ➔ Mathematics

The key is to find matrices A and B which are normal but such that A* and B do not commute. Can you find two non-commuting 2x2 normal matrices?

2006-11-25 11:54:15 · answer #1 · answered by mathematician 7 · 1⤊ 0⤋