Problem Statement

Build an   identity matrix   of a size known at run-time.

An identity matrix is a square matrix of size n × n, where the diagonal elements are all 1s (ones), and all the other elements are all 0s (zeroes).

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{\displaystyle I_{n}={\begin{bmatrix}1&0&0&\cdots &0\0&1&0&\cdots &0\0&0&1&\cdots &0\\vdots &\vdots &\vdots &\ddots &\vdots \0&0&0&\cdots &1\\end{bmatrix}}}

Let's start with the solution:

for i in `seq $1`;do printf '%*s\n' $1|tr ' ' '0'|sed "s/0/1/$i";done