How to wirte the matrix G

HI, everyone. I found myself stack in this problem:

Suppose that you determine the masses of 100 objects by weighing the first, then weighing the first and second together, and then weighing the rest in triplets: the first, second, and third; the second, third, and fourth; and so forth.

The problem asked me to identify the model parameters and the data ( g= Gm).

I did so on my copybook, but I want to write a matlab script for this and I am struggling about how to write the G matrix in the correct way in matlab.

This is how I write G on my copybook:

[1 0 0 0 0....0]

[1 1 0 0 .....0]

[1 1 1 .......0]

[0 1 1 1 ....0]

[...................]

[0 0 0 0 ...1]

Can anyone help me?

Thank for all who will answer.

Answer 1

[David Hill]

n=whatever size matrix you want.

G=eye(n)+diag(ones(1,n-1),-1)+diag(ones(1,n-2),-2);

Answer 2

[Chiara Lanzi]

Thank you for your answer.