[線代] 證明題
Let A be an n*n matrix over R such that A^5=I .Here, as usual,
I denotes the identity matrix.
Show that if the trace tr(A)=0 , then Av=v holds,
for some non-zero vector v
似乎有在教科書出現過，不過還是不會..
希望有人能解迷津或給個答題的方向，
感謝感謝。
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