Product of two determinants:
We can write
Here we have multiplied the matrix rows by rows. We may also multiply columns by rows or or columns by columns, rows by columns.
Note: If Δ = |aij| is a determinant of order n, then the value of the determinant |Aij|, where Aij is the cofactor of aij, is Δn-1. That is called as power cofactor formula.
Example : Prove the subsequent by multiplication of determinants and power co-factor formula.
Solution: (i) First determinant is same to (2abc)2
(ii)Second determinant is direct multiplication of determinants in row to row.
(iii)Third determinant is co-factors of the first determinant and therefore square of the first.
problem- 6: Express 
as the product of two determinants and calculate it.
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