Create a matrix of average Values from a Vector

Question

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Hi all,

It would be great if you could help me solve this problem!

I have a vector of 5 numbers [2 4 8 9 12] and want to create a matrix with the size 5*5 containing the average of each of the respective pairs of numbers in the corresponding field of the matrix. In this case it would be

[2 3 5 5.5 7;

3 4 6 6.5 8;

5 6 8 8.5 10;

5.5 6.5 8.5 9 10.5;

7 8 10 10.5]

How could I implement this with code? Would this be the right implementation?

vector = [2 4 8 9 12];
for i = 1:5
    for j = 1:5
        matrix(i,j) = (vector(i) + vector(j))/2;
    end
end
matrix
matrix = 5×5
    2.0000    3.0000    5.0000    5.5000    7.0000
    3.0000    4.0000    6.0000    6.5000    8.0000
    5.0000    6.0000    8.0000    8.5000   10.0000
    5.5000    6.5000    8.5000    9.0000   10.5000
    7.0000    8.0000   10.0000   10.5000   12.0000