Create a matrix of average Values from a Vector

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

Thanks!

Johanna

[Torsten]

Yes.

Or simply

matrix = 0.5*(vector+vector.')

Answer 1

[KSSV]

The same implementation without loop:

matrix = (vector+vector')/2 ;

When you have used a loop, you need to initilaizethe matrix into zeros.

matrix = zeros(5) ;