given a square matrix A of order 3x3 such that |A| =12 then find the value of |A adjA|
A adjA can be easily found by the following formula
A.adjA = adjA.A = |A|I
Therefore |A.adjA|can be find easily as,
|A.adjA|=||A|*I |
|A.adjA|=|A|3.| I |
|A.adjA|=123.1=1728
using the determinant property that |cA|=(c^n)*|A| and n here is 3 and A=I
A.adjA = adjA.A = |A|I
Therefore |A.adjA|can be find easily as,
|A.adjA|=||A|*I |
|A.adjA|=|A|3.| I |
|A.adjA|=123.1=1728
using the determinant property that |cA|=(c^n)*|A| and n here is 3 and A=I