Question: Solve part a and b! and please show steps for part a and b! Consider the sequence defined recursively by do = 2, a1 =

Solve part a and b!

and please show steps for part a and b!

Consider the sequence defined recursively by do = 2, a1 = 2, an\" = 4a\" + 3an+1 . We can use matrix diagonalization to find an explicit formula for an . a a (a) Find amatrix that satisfies [ \"+1 = M l n ' an+2 \"n+1 M: (b) Find the appropriate exponent k such that i\"" l=Mki\"i \"n+1 611 k

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