Maths Olympiad Prep

Track / Stage 4 / 327 of 340 #587 of 1964

Problem 587

AMC 12 late, AIME early
Algebra Difficulty 5.0 Find the answer

2.66 Find the matrix (3102)100\left(\begin{array}{cc}3 & -1 \\ 0 & 2\end{array}\right)^{100}.

This one wants a proof. Work it on paper, then read the official solution and mark yourself. Be honest about it: the record is only any use to you if it is.

Official solution

None

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None

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.