MATLAB: Matrix calculation and powers

Question

Hello, Is there a way to elevate each element of a 2D matrix to several powers at once (without using a loop) ? The result should be a 3D matrix where each "layer" corresponds to the initial data matrix elevated to a certain power.

rawValues=[7 3 7 9 4 2 5 5;5 2 3 10 2 2 4 3;2 6 7 7 8 10 6 5];
nRow=size(rawValues,1);
powerMatrix = repmat(1:5,nRow,1);
powerVector=1:5;
d3Matrix= zeros(nRow,8,5);
d3Matrix(:,:,1)=rawValues.^powerVector(:,1);

I tried different ways but I always got a dimension error message. I am not sure whether the powers should be in a matrix or a vector (nothing has worked so far…). I am sure it is just a stupid matter of syntax…

Any idea ?

Many thanks !

Answer 1

You can do it in one line, just make the dimensions appropriate.

rawValues=[7 3 7 9 4 2 5 5;5 2 3 10 2 2 4 3;2 6 7 7 8 10 6 5];
powerMatrix = reshape(1:5, 1, 1, []);
Result = rawValues.^powerMatrix;