You are correct that using the colon operator directly to perform the multidimensional assignment is a bit tricky in MATLAB. The colon operator is designed for creating a linearly spaced vector and may not directly produce the desired multidimensional array.
However, you can achieve the desired result in a more efficient way using array broadcasting and bsxfun (Binary Singleton Expansion Function) in MATLAB. Array broadcasting allows you to perform element-wise operations on arrays with different sizes, expanding the smaller array to match the size of the larger one.
Here's how you can do it without using loops or cell arrays:
n = 90;
n2 = 10;
% Create a 1-by-n vector with values from 1 to n
index = 1:n;
% Create a 1-by-n2 vector with values from 1 to n2
index2 = (1:n2)';
% Perform element-wise addition and broadcasting to create the desired matrix
A = bsxfun(@plus, index2, index - 1);
In this approach, we create two vectors index and index2 using the colon operator. Then, we use bsxfun to add index2 to each element of index, which results in the desired multidimensional matrix A.
This method should be more computationally efficient and avoids the need for loops or cell arrays. It can be easily extended to higher dimensions as well.
