In training phase, singular value vector of a lot of face image information matrix from face image sets constitutes face image sets characteristic matrix as a column.

在训练阶段，从人脸图像集中选取大量人脸图像的信息矩阵的奇异值向量作为矩阵中的一列而构成的人脸图像集特征矩阵。

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But it is very difficult to compute the number of non-negative matrix with fixed score row or column vectors, so to compute the number of tournament matrix with fixed score vector is also difficult.

竞赛矩阵和竞赛图由于具有固定行和向量及列和向量的非负矩阵类的计数，是组合数学的一个非常困难的问题，因此对具有固定得分向量的竞赛矩阵的计数问题也比较困难。

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This article analyzes a few profound concepts, such as companion matrix, line vector, column rector, orthogonal matrix, and recommend many qualities, which are difficult to grasp for many students.

本文剖析了线性代数中伴随矩阵、行向量与列向量的乘积、正交矩阵几个较难掌握的概念，由此引出这些概念的一些基本特征和性质。

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