If the value of a third order determinant is 12, then find the value of the determinant formed by replacing each element by its co-factor

Answer

N/a

Explanation

True
Let `A` is the determinant
`:. |A|=12`
Also, we know that if `A` is a square matrix of order `n` then `|adj A|=|A|^(n-1)`
For `n=3,|adj A|=|A|^(3-1)=|A|^(2)`
`=(12)^(2)=144`