Problem 54715. Weird Diagonal Matrix!!

Nayeb Hasin

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Given an integer n, create a matrix whose diagonal elements will be square matrices of size 1 to n.
For example:
n=2
z =
     1     0     0
     0     2     2
     0     2     2
n=3
z =
     1     0     0     0     0     0
     0     2     2     0     0     0
     0     2     2     0     0     0
     0     0     0     3     3     3
     0     0     0     3     3     3
     0     0     0     3     3     3