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  "body": "\n## Proof\n\n1. Let $I_n$ be the $n \\times n$ [[identity matrix|06DW9BAWB1]] over $K$.\n2. By property 3 of the [[definition of the determinant|0C3CFHDN6R]], $\\det I_n = 1$.\n\n## Idea\n\nThe determinant is fixed by three properties, and the value $1$ on the identity is one of them. This normalization picks one function out of all alternating multilinear functions, which differ from it by a constant factor.\n",
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