w ∈ r^(p+1), x ∈ r^(n*p) and y ∈ r^n. in matlab

In MATLAB, you can create an w vector of size (p+1) x 1, an x matrix of size n x p, and a y vector of size n x 1 using the following code:

main.m
p = 3; % the size of p
n = 4; % the size of n

w = rand(p + 1, 1); % create a (p+1)x1 vector w with random values
x = rand(n, p); % create a nxp matrix x with random values
y = rand(n, 1); % create a nx1 vector y with random values
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You can also initialize the w, x, and y vectors/matrices with specific values or zeros using other MATLAB functions like ones, zeros, or eye, depending on your requirements.

Note that the rand function generates random numbers uniformly distributed between 0 and 1. If you need different types of random numbers or distributions, you can use other MATLAB functions like randn (normal distribution) or randi (uniform distribution of integers).

Let me know if I can help you with anything else.