w ∈ r^(p+1), x ∈ r^(n*p) and y ∈ r^n, and w = [w0, w1]' in matlab

To create the variables w, x, and y in Matlab, you can follow these steps:

1. Define the dimensions of the variables:

   • Let p be the number of columns in x and w, so x will have n rows and p columns.
   • Let n be the number of elements in y, so y will have n rows.

2. Create the variables w, x, and y:

   • w can be defined as a column vector with p+1 elements using the following syntax:

     main.m
     w = zeros(p+1, 1);
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   • x can be defined as a matrix with n rows and p columns using the following syntax:

     main.m
     x = zeros(n, p);
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   • y can be defined as a column vector with n elements using the following syntax:

     main.m
     y = zeros(n, 1);
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3. Assign values to w and fill x and y with values accordingly.

Here's an example that demonstrates these steps:

main.m
% Define the dimensions
p = 2; % Number of columns in x and w
n = 3; % Number of rows in x and y

% Create the variables w, x, and y
w = zeros(p+1, 1);
x = zeros(n, p);
y = zeros(n, 1);

%Assign values to w
w(1) = 1;
w(2) = 2;

% Assign values to x (example values)
x(1, 1) = 3;
x(1, 2) = 4;
x(2, 1) = 5;
x(2, 2) = 6;
x(3, 1) = 7;
x(3, 2) = 8;

% Assign values to y (example values)
y(1) = 9;
y(2) = 10;
y(3) = 11;
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In this example, w is a column vector [1; 2], x is a matrix with 3 rows and 2 columns, and y is a column vector [9; 10; 11].

Please note that you need to replace the example values with your own values to match your problem.

Tags: matlab, matrix, vector, variables