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We consider Matsumoto change of Finsler metrics. First, we find a condition under which the Matsumoto change of a Finsler metric is projectively related to it. Then, considering the subspace of m-th root Finsler metrics, if F is the Matsumoto change of F , we prove thatF is locally projectively flat if and only if it is locally dually flat. In this case, F andF reduce to locally Minkowskian metrics. 2010 Mathematics Subject Classification: Primary 53B40; Secondary 53C60. Key words and phrases:doi:10.2298/pim1715183t fatcat:qxvlzgsj4vdrphysb7aeilf42a