Question: Every square, real matrix has at least one complex eigenvector. The complex number i satisfies i^3 = i If a complex number z in C,

  1. Every square, real matrix has at least one complex eigenvector.
  2. The complex number i satisfies i^3 = i
  3. If a complex number z in C, satisfies |z| = 1, then either z=1 or z=-1

True or False for each one (with example please)

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