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Geometry Level 3

Let A A be any matrix of order 2018 2018 over the field of real numbers, such that A 2 3 A + 2 I = 0 A^2 - 3A + 2I = 0 , with at least 2 different eigenvalues. What is the minimum value that the trace of A A can reach?

Assumption.- I I is the Identity matrix of order 2018 2018 .


The answer is 2019.

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