“transpose”的概念、定义、习题解题方法及翻译-数学辞典

单词

transpose

释义

transpose

The transpose of an m×n matrix is the n×m matrix obtained by interchanging the rows and columns. The transpose of A is denoted by A^T, A^t, or A′. Thus, if A = [aij], then $inline$ , where $inline$ ; that is,

The following properties hold, for matrices A and B of appropriate orders:

(i) (A^T)^T = A.

(ii) (A + B)^T = A^T + B^T.

(iii) (kA)^T = kA^T.

(iv) (AB)^T = B^TA^T.

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