We call the matrix full rank.
我们称这个矩阵为满秩。
| 单词 | Full rank |
| 释义 |
Full rank
原声例句
Linear algebra We call the matrix full rank. 我们称这个矩阵为满秩。 Linear algebra For a full rank transformation, the only vector that lands at the origin is the zero vector itself. 对于一个全秩变换 唯一落在原点的向量是零向量本身。 Linear algebra But for matrices that aren't full rank, which squash to a smaller dimension, you can have a whole bunch of vectors land on zero. 但对于不是全秩的矩阵 它被压缩到更小的维数 你可以有一大堆向量落在0上。 Linear algebra But the matrix is still full rank, since the number of dimensions in this column space is the same as the number of dimensions of the input space. 但是这个矩阵仍然是满秩的 因为这个列空间的维数和输入空间的维数是一样的。
中文百科
秩 (线性代数) Rank (linear algebra)（重定向自Full rank）
在线性代数中，一个矩阵A的列秩是A的线性独立的纵列的极大数目。类似地，行秩是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的秩。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Full 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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