Matlab code for generating rank deficient random matrix of order $m\times n$

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I am trying to make matlab code for generating rank deficient random matrix of order $m\times n$, $m > n$.

Rank deficient matrix: Here $m\times n$, $m > n$ matrix $A$ would be rank deficient if $rank (A) = r < n$. I think this could be done by putting $n+1$ columns equal to zero. But I am just beginner to Matlab that is why getting little difficulty implement this.

Thank you