I am given a task to give an example of a singular matrix, for a 2x2 is very simple to try out some combinations of numbers to eventually get a determinant=0. But I find it a time consuming to go by trial and error for a 3x3 matrix.

Criteria:

1. No zero entries
2. No rows are multiple of other rows

What I know:

1. Formula to find determinant of 3x3 matrix.
2. Zero determinant means Singular matrix.