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1989-05-25
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436b
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PROJECT 9.
┌ ┐ 2
Let A = │ 1 1 │ , and look at the successive powers A ,
│ 1 0 │
└ ┘
3 4 5
A , A , A , etc.
Make a conjecture about the entries of these matrices and try to prove it.
If you haven't heard of the Fibonacci sequence you may wish to ask your instructor, or to browse in some books on "discrete mathematics".