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( 1 point ) Note: In this problem, use the method from class. See the lecture notes for January 1 2 - 1 7 on
point Note: In this problem, use the method from class. See the lecture notes for January on Brightspace. Also see Example in the textbook. More examples using real matrices are in Section of the textbook.
Consider the sequence defined recursively by
We can use matrix diagonalization to find an explicit formula for
a Find a matrix A that satisfies
b Find the appropriate exponent such that
c Find a diagonal matrix and an invertible matrix such that
d Find an explicit closed formula for Fn
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