Find the determinant of this matrices S(2x3):[1 4 4 ] [3 5 8 ] and R (3x2):[7 3 ] [2 6 ] [1 9 ]
I think you meant "Find the determinant of the matrices:"
The matrices you have provided do not have the same number of rows and columns. The first has 2 rows and 3 columns and the second has 3 rows and two columns.
A determinant can be found only for square matrices which have the same number of rows and columns.
The determinant is not applicable for the matrices given.
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.