Can Sarrus' method of finding the determinant be used for finding the determinant of matrices greater than $3\times3$, as I am unable to find any example of a matrix greater than $3\times3$ whose determinant is found by Sarrus' method?
I have tried many questions and Sarrus' method only works for $2\times2$ and $3\times3$ matrices. I have not read about Sarrus' method in any book but only from the internet, so I'm not sure about it.
Nop. It only works for $\;3\times 3\;$ matrices. Of course, you can always develop bigger matrices' determinants by rows or columns until you reach matrices $\;3\times 3\;$ .
Of course, also $\;2\times 2\;$ matrices have a Sarrus's Method-like, but it is trivial there.