An **alternating sign matrix** (ASM) is a special type of square matrix that has entries of 0, 1, or -1, and follows specific rules regarding its structure. Here are the defining characteristics of an alternating sign matrix: 1. **Square Matrix**: An ASM is an \( n \times n \) matrix. 2. **Entry Values**: Each entry in the matrix can be either 0, 1, or -1.
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