adding vector to matrix to create tensor

Hi. I have a 10176X10176 matrix and a 10176X1 vector that I want to add to the matrix in order to create a 10176X10176X10176 tensor, without a for loop.

How should I go about that?

Answer 1

[Dyuman Joshi]

%Sample example

y = rand(12,12);
z = rand(12,1);

%Change the dimensions of z from mxnx1 to nx1xm
z0 = permute(z,[2 3 1]);
size(z0)

ans = 1×3

1 1 12

%Perform the addition
out = y + z0;
size(out)

ans = 1×3

12 12 12

[Steven Lord]

This is a correct answer, but it probably won't work on the original question for practical reasons. Assuming the data is real double data:

numElements = 10176^3;
bytes = 8*numElements;
tb = bytes/(1000^4)

tb = 8.4299

the result would require over 8 terabytes of contiguous memory to store.