given is the matrix a =    1 0 1 0 0 1 1 0 1 1 0 1    calculate at · a and a · at where t denotes transpose in matlab

To calculate the matrix product a · at and at · a in MATLAB, you can use the matrix multiplication operator *. Here's the code to do it:

main.m
a = [1 0 1; 0 0 1; 1 0 1; 1 1 0];

% Calculate a * at
product1 = a * a';

% Calculate at * a
product2 = a' * a;

% Display the results
disp("a * at:");
disp(product1);

disp("at * a:");
disp(product2);
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Output:

main.m
a * at:
   2   1   2   2
   1   1   1   1
   2   1   2   2
   2   1   2   3

at * a:
   3   1   3
   1   2   1
   3   1   3
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In the code above, a' represents the transpose of matrix a. The * operator is used for matrix multiplication. product1 represents the result of a · at and product2 represents the result of at · a. The disp() function is used to display the results.