How to make a 4-D Matrix from 1-D Array?

I have a 1-D array (1*11). I need to make it a 4D matrix (11*11*11*11). The number of data (11) for each dimension are the same. For example, the 1-D array is A=0:1:10. This A needs to be turned into 4-D matrix. How can I do that? How to write the code for that?

[DGM]

That depends on how those 14641 elements are supposed to be related to the 11 elements you started with.

The simple answer would just be

x = 0:10;
y = repmat(x,[11 1 11 11]);

... though for many uses, it may be unnecessary to expand a vector like this at all. Again, it depends on what's actually needed.

[Rik]

The question is much too light on details to conclude this, but I suspect the final answer will include a call to meshgrid or ndgrid. All depends on what OP actually wants to happen.

[Sai]

You can refer to the below link

https://in.mathworks.com/matlabcentral/answers/770193-how-can-i-convert-1d-vector-into-4d-matrix

Answer 1

[Rahul]

Hi @ANANTA BIJOY BHADRA,

I understand that you wish to obtain a 4-D Matrix from a 1-D Matrix of 11 data elements.

Taking the example of A=0:1:10, we can obtain the 11 x 11 x 11 x 11 matrix using 'ndgrid' function.

Here's how you can achieve it:

A = 0:1:10; 
 
% Use 'ndgrid' to expand A into 4D 
[B1, B2, B3, B4] = ndgrid(A, A, A, A); 
 
% These 4 B1, B2, B3, B4 can be combined in any desired way to obtain 
% desired result. 
 
% For Example: 
B = B1 + B2 + B3 + B4; 

You can refer to the following MATLAB documentations to know more about these functions:

'ndgrid': https://www.mathworks.com/help/releases/R2024a/matlab/ref/ndgrid.html?searchHighlight=ndgrid&s_tid=doc_srchtitle

'meshgrid': https://www.mathworks.com/help/releases/R2024a/matlab/ref/meshgrid.html?searchHighlight=meshgrid&s_tid=doc_srchtitle

Hope this helps! Thanks.