No, you cannot find the determinant of a 3×2 matrix.
The determinant is a mathematical concept that applies specifically to square matrices, which are matrices that have the same number of rows and columns. A 3×2 matrix has 3 rows and 2 columns, making it a rectangular matrix, not a square one.
In essence, the determinant of a matrix provides valuable information, such as whether the matrix is invertible and the volume scaling factor of the linear transformation represented by the matrix. However, because a 3×2 matrix does not fit the criteria needed to calculate a determinant, it simply lacks a determinant altogether.