Do determinants multiply?
Determinant : Yes, two determinants can be multiplied together. This can be done if they have the same order.
The rule for multiplying two determinants of order is given below:
Take the first row of the first determinant and multiply it successively with rows of another (determinant to be multiplied with) determinant.
The three expressions thus we get will be elements of the row of the resultant determinant.
Similarly, we can get the elements of rows of a determinant.
Hence, Determinants can be multiplied.