Let ni, n 2 , ... , n 2 , n t be positive integers such that

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Let ni, n2, ... , n2, nt be positive integers such that n1 + n2 + • · · + nt = n and for each i let Mi be an ni X ni matrix. Let M be then X n matrix 

where the main diagonal of each Mi lies on the main diagonal of M. For each permutation σ of {1, 2, ..., t), M is similar to the matrix 

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