转置矩阵 Transpose

（重定向自Matrix transpose）

在线性代数中，矩阵A的转置是另一个矩阵A（也写做A, A或A′）由下列等价动作创建:

把A的横行写为A的纵列
把A的纵列写为A的横行

形式上说，m × n矩阵A的转置是n × m矩阵

A^\mathrm{T}_{ij} = A_{ji}

for

1 \le i \le n,

1 \le j \le m

。

注意： $\mathbf{A}^{T}$ （转置矩阵）与 $\mathbf{A}^{-1}$ （逆矩阵）不同。

单词	Matrix transpose
释义	Matrix transpose 中文百科转置矩阵 Transpose （重定向自Matrix transpose）在线性代数中，矩阵A的转置是另一个矩阵A（也写做A, A或A′）由下列等价动作创建: 把A的横行写为A的纵列把A的纵列写为A的横行形式上说，m × n矩阵A的转置是n × m矩阵 $A^\mathrm{T}_{ij} = A_{ji}$ for $1 \le i \le n,$ $1 \le j \le m$ 。注意： $\mathbf{A}^{T}$ （转置矩阵）与 $\mathbf{A}^{-1}$ （逆矩阵）不同。英语百科 Transpose 转置矩阵（重定向自Matrix transpose） This article is about the transpose of a matrix. For other uses, see Transposition Note that this article assumes that matrices are taken over a commutative ring. These results may not hold in the non-commutative case. In linear algebra, the transpose of a matrix A is another matrix A (also written A′, A, A or A) created by any one of the following equivalent actions: Formally, the i th row, j th column element of A is the j th row, i th column element of A: If A is an m × n matrix then A is an n × m matrix.
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Matrix transpose

转置矩阵 Transpose

Transpose 转置矩阵