Compute * 1 1 1 0+n for small values of n (up to about 5 or 6). Conjecture explicit
Chapter 5, Problem 53(choose chapter or problem)
Compute \(\left[\begin{array}{ll} 1 & 1 \\ 1 & 0 \end{array}\right]^{n}\) for small values of n (up to about 5 or 6). Conjecture explicit formulas for the entries in this matrix, and prove your conjecture using mathematical induction.
Text Transcription:
[_1^1 _0^1]^n
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