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Explain why the set, which consists of the invertible n x n-matrices and the zero matrix, does not form a field for n 2 together

Explain why the set, which consists of the invertible n x n-matrices and the zero matrix, does not form a field for n≥ 2 together with the matrix addition and multiplication. 

Begrnden Sie, warum die Menge, die aus den invertierbaren n x n-Matrizen und der Nullmatrix besteht, fr n 2 2 zusammen mit der Matrizenaddition und -multiplikation keinen Krper bildet.

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