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单词 Matrix rank
释义

Matrix rank

原声例句
Linear algebra

For instance, in the case of two by two matrices, rank two is the best that it can be.

例如 在2×2矩阵的情况下 秩2是最好的。

Linear algebra

But for three by three matrices, rank two means that we've collapsed, but not thess much as they would have collapsed for a rank one situation.

但是对于3×3矩阵 2阶矩阵意味着我们已经崩溃了 但不像1阶矩阵那样崩溃。

中文百科

秩 (线性代数) Rank (linear algebra)

(重定向自Matrix rank)

在线性代数中,一个矩阵A列秩A的线性独立的纵列的极大数目。类似地,行秩A的线性独立的横行的极大数目。

矩阵的列秩和行秩总是相等的,因此它们可以简单地称作矩阵A。通常表示为r(A),rk(A)或rank A

英语百科

Rank (linear algebra) 秩 (线性代数)

(重定向自Matrix rank)

In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This is the same as the dimension of the space spanned by its rows. It is a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.

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更新时间:2025/6/17 13:17:59