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单词 Permutation matrix
释义

Permutation matrix

中文百科

置换矩阵

在数学中的矩阵论里,置换矩阵是一种系数只由0和1组成的方块矩阵。置换矩阵的每一行和每一列都恰好有一个1,其余的系数都是0。在线性代数中,每个n阶的置换矩阵都代表了一个对n个元素(n维空间的基)的置换。当一个矩阵乘上一个置换矩阵时,所得到的是原来矩阵的横行(置换矩阵在左)或纵列(置换矩阵在右)经过置换后得到的矩阵。

英语百科

Permutation matrix 置换矩阵

Matrices describing the permutations of 3 elements The product of two permutation matrices is a permutation matrix as well.These are the positions of the six matrices:(They are also permutation matrices.)
P * (1,2,3,4)T = (4,1,3,2)T
(1,2,3,4) * P = (2,4,3,1)
(1,2,3,4) * PT = (4,1,3,2)

In mathematics, in matrix theory, a permutation matrix is a square binary matrix that has exactly one entry of 1 in each row and each column and 0s elsewhere. Each such matrix represents a specific permutation of m elements and, when used to multiply another matrix, can produce that permutation in the rows or columns of the other matrix.

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更新时间:2025/6/19 17:20:58