I have a 4 Dimensional Matrix and i want to get its transpose

val(:,:,1,1) =

-0.0011 + 0.0005i -0.0001 - 0.0006i 0.0005 - 0.0004i 0.0004 - 0.0005i

0.0001 - 0.0002i 0.0005 - 0.0006i -0.0001 - 0.0003i 0.0001 - 0.0005i

val(:,:,2,1) =

1.0e-03 *

0.0853 + 0.0961i -0.0836 + 0.5605i -0.2264 - 0.2537i -0.4819 + 0.4021i

0.2431 - 0.0009i 0.0080 - 0.1446i 0.0173 - 0.3306i 0.3036 + 0.0662i

val(:,:,3,1) =

1.0e-03 *

0.4071 + 0.1592i 0.0390 + 0.0368i 0.1849 + 0.1427i 0.1037 - 0.0101i

-0.3148 + 0.4124i 0.1739 - 0.8511i 0.4364 + 0.2318i -0.4959 - 0.0581i

val(:,:,4,1) =

1.0e-03 *

-0.3427 - 0.2354i -0.0962 + 0.2063i 0.0545 - 0.5590i 0.4838 - 0.4740i

-0.1377 + 0.3177i 0.4218 - 0.1650i 0.5585 - 0.0281i 0.8008 + 0.3560i

val(:,:,1,2) =

0.0000 + 0.0005i -0.0005 - 0.0001i 0.0009 + 0.0005i -0.0003 - 0.0004i

-0.0003 - 0.0001i -0.0001 - 0.0003i 0.0001 - 0.0007i 0.0010 - 0.0008i

val(:,:,2,2) =

1.0e-03 *

0.0735 - 0.0389i 0.2078 + 0.6834i -0.4282 + 0.1815i 0.0376 + 0.1491i

0.5771 + 0.3827i 0.2349 - 0.0414i 0.3709 + 0.4640i -0.1642 + 0.0532i

val(:,:,3,2) =

1.0e-03 *

-0.2583 + 0.1898i -0.6208 - 0.1740i -0.6824 + 0.6126i 0.7040 + 0.1055i

-0.5507 - 0.5081i 0.2960 + 0.1625i -0.3143 + 0.2994i -0.2992 + 0.1128i

val(:,:,4,2) =

1.0e-03 *

0.3043 + 0.5059i -0.1311 + 0.4960i 0.1339 - 0.1343i -0.3379 - 0.1514i

0.6952 + 0.5950i 0.1602 + 0.3575i 0.6829 + 0.7096i 0.4307 - 0.7628i

So this is my 4 dimensional matrix and i want to find its transpose using a for loop.

[Jan]

A "matrix" is a 2D array by definition. You mean a "4D array".

[Nir Vaishnav]

yes

[Torsten]

@Nir Vaishnav

A requirement for a (2d)-matrix to have a transpose is that it is square.

In your above example, the 2d-cuts from your 4d-array are (2x4), thus not square.

[James Tursa]

@Torsten "A requirement for a (2d)-matrix to have a transpose is that it is square."

Huh? Of course one can transpose any size 2D matrix. E.g.,

A = [1 2 3 4; 5 6 7 8]

A = 2×4

1 2 3 4 5 6 7 8

A.'

ans = 4×2

1 5 2 6 3 7 4 8

[Torsten]

A requirement for a (2d)-matrix to have a transpose is that it is square.

Ok, it's nonsense.

Answer 1

[Jon]

You can use the MATLAB permute function for this and not use any loops

https://www.mathworks.com/help/matlab/ref/permute.html

[Nir Vaishnav]

how do i use it in code?......i am still unclear after seeing the help file.

[Jon]

Let me first ask, what is it that you actually want to do. What exactly do you mean by the "transpose" of a 4 dimensional array. Ideally please provide a simple example, of your desired input array and output array.

Answer 2

[James Tursa]

Maybe this does what you want, which is transpose the first two dimensions:

permute(val,[2 1 3 4])

Or you could use this function to get the same result:

pagetranspose(val)