Transposed Matrix

Transposed Matrix

In linear algebra, the transpose of a matrix A is another matrix AT (also written A′, Atr,tA or At) created by any one of the following equivalent actions:

  • reflect A over its main diagonal (which runs from top-left to bottom-right) to obtain AT
  • write the rows of A as the columns of AT
  • write the columns of A as the rows of AT

Formally, the ith row, jth column element of AT is the jth row, ith column element of A:

[AT]i j = [A]j i

If A is an m × n matrix then AT is an n × m matrix.

You have been given a matrix as a 2D list with integers. Your task is to return a transposed matrix based on input.

Input: A matrix as a list of lists with integers.

Output: The transposed matrix as a list of lists with integers.

题目大义: 矩阵转置

1 def checkio(data):
2     rel = []
3     tmp = zip(*data)
4 
5     for each in tmp:
6         rel.append(list(each))
7 
8     #replace this for solution
9     return rel

使用map函数一行解决

1 def checkio(data):
2     return map(list, zip(*data))

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posted @ 2014-08-07 17:06  哲人善思  阅读(284)  评论(0编辑  收藏  举报