Find the determinant of this matrices S(2x3):[1 4 4 ] [3 5 8 ] and R (3x2):[7 3 ] [2 6 ] [1 9 ]

The first rule you have to remember is that the
determinant is the value of a square matrix: 2x2,
3x3,...,nxn

The matrix you've provided are not square
matrix, 2x3 and 3x2, therefore we cannot find the value of required
determinant.

So, keep in mind, to calculate the value of
the determinant of a matrix, you have to check first if the number of rows is the same
with the number of columns, such as to have a square matrix. If so, then you can
evaluate it's determinant.

To calculate a determinant of
each of the matrix you've provided, you have to look inside matrix and choose a minor.
The minor is the determinant of a matrix, whose number of rows or columns is smaller
than the initial number.