All Possible Combinations of 2 vectors

Question

Gianluca Borgna 2018-12-19

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/436478-all-possible-combinations-of-2-vectors

回答： Stephen23 2018-12-19

采纳的回答： Stephen23

Hi everybody,

I have a simple question.

I'm trying to generate rapidly a matrix with all combinations of 2 vectors.

I'm working on the classification of bridge damages. The damage is expressed with a qualitative number ranging from 1 to 5 (the first vector) CR=1:5, the other vector is the position of damage on the bridge ranging also it from 1 to 5 (a fifth of the length per time).

I just would like to have the matrix that containts as the number of rows the combinations of CR, and as the number of columns the ith position.

I would like to have a scheme to follow.

It should look like:

A=[1 1 1 1 1; 2 1 1 1 1; ..; 3 4 5 1 1; ...]

excluding the repetitions.

I tried different commands but i'm not finding the solution!

Thanks in advance!

G

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Answer 1

Stephen23 2018-12-19

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/436478-all-possible-combinations-of-2-vectors#answer_353100

>> [A,B,C,D,E] = ndgrid(1:5);
>> M = [A(:),B(:),C(:),D(:),E(:)];
M =
 1   1   1   1
 1   1   1   1
 1   1   1   1
 1   1   1   1
 1   1   1   1
 2   1   1   1
 2   1   1   1
 2   1   1   1
... lots of lines here
 4   5   5   5
 4   5   5   5
 4   5   5   5
 4   5   5   5
 5   5   5   5
 5   5   5   5
 5   5   5   5
 5   5   5   5
 5   5   5   5