For a given input n, make an n by n identity matrix that contains the elements 1:n along its diagonal. For example, if input=5:
output = [1 0 0 0 0;
0 2 0 0 0;
0 0 3 0 0;
0 0 0 4 0;
0 0 0 0 5]
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This problem's title and description were cleaned up and additional test cases were added.