This document defines the determinant function and provides examples of calculating determinants for 2x2 and 3x3 matrices. It explains that the determinant of a matrix is the sum of all permutations of the matrix's entries with appropriate signs. For 3x3 matrices, the document recommends using the Sarrus method, which involves taking sums and differences of 2x2 determinants. It concludes by asking if the Sarrus method can also be used for 4x4 and larger matrices.