For the nucleotide substitution model of Section 10 5, prove formally that P(t) has the same pattern for equality of entries as For example, pAC(t) pGC(t) (Hint Prove by induction that k has the same pattern as Then note the matrix exponential definition (10 7) ) ...

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For the nucleotide substitution model of Section 10.5, prove formally that P(t) has the same pattern for

Question:

For the nucleotide substitution model of Section 10.5, prove formally that P(t) has the same pattern for equality of entries as Λ. For example, pAC(t) = pGC(t). (Hint: Prove by induction that Λk has the same pattern as Λ. Then note the matrix exponential definition (10.7).)

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