矩阵秩的理论是线性代数的重要内容.不同于传统的做法,本文以作初等变换化为对角形其对角线上非零元素的个数作为矩阵秩的定义来建立矩阵秩的理论.这样的全新的处理,不仅定义自然,而且理论推导更易理解.%The rank theory is an important part of linear algebra. Different from the traditional way, the paper defines the rank as the number of nonzero elements in the diagonal of a diagonal matrix which is obtained by applying elementary operations to a given matrix. The whole rank theory is estab-lished under this rank definition. This approach is more natural and easily understood.
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