通过计算及归纳的方法，得到了n×n 矩阵代数中极大线性无关的反交换2-幂零矩阵的个数，推广了相关文献中的一般线性李代数 gl(n)的交换子代数的最大维数这一结论。%With the aid of computation and induction, the maximal number of linearly independent anti-commutative 2-nilpotent matrices of order n is obtained. This result generalizes result in the related literature, where the maximal dimension of commutative subalgebras in the general linear Lie algebra gl(n) was determined.
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