how to calculate product of two 3D matrices (both 101 by 101 by 101 ) in matlab ?

Let u be the 3D (101 by 101 by 101) matrix. I have to calculate u^2.

Answer 1

[Hassaan]

For a 3D matrix, there's no standard matrix multiplication operation.

Assuming you want to square each element of a 3D matrix:

% Generate a 3D matrix u of size 101x101x101 with dummy data
u = rand(101, 101, 101); % For example, using random numbers

% Calculate u^2 element-wise
u_squared = u .* u;

% Display some of the squared values to verify
disp(u_squared(1:2, 1:2, 1:2)); % Display a small portion to check

(:,:,1) =

    0.5614    0.7014
    0.2341    0.0030


(:,:,2) =

    0.1137    0.7113
    0.3022    0.0026

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[GNANASEKARAN S]

There is a difference between normal product and element by element product

[Walter Roberson]

Normal product is not defined for 3D matrices.

Answer 2

[Matt J]

u=randi(10, 3,3,2)

u = 
u(:,:,1) =

     3     9     3
    10     2     7
     6    10     7


u(:,:,2) =

     6     2     5
     7     8     1
     6     3     4

u.^2

ans = 
ans(:,:,1) =

     9    81     9
   100     4    49
    36   100    49


ans(:,:,2) =

    36     4    25
    49    64     1
    36     9    16

[GNANASEKARAN S]

yeah. But i expct the product not an element by element operation

[Matt J]

Perhaps you are looking for pagemtimes or tensorprod.

Answer 3

[Walter Roberson]

u^2 is not defined for 3D matrices.