Lets define a 3 Times 3 matrix E its cofactor matrix C and i

Let\'s define a 3 Times 3 matrix, [E], its cofactor matrix, [C], and its Adjoint, [A]: Briefly, what is the relationship between [C] and [A]? That is, how do we convert [C] into [A]? What are the cofactors of these elements? Now what are the cofactors of these elements? Define the Adjoint values for each of these elements:

Solution

2) cofactors of e11 = 5*2 - (-2*2) = 10 + 4 = 14

e22 = 1*2 - (-1*-1) = 2-1 = 1

3) e32 = 1*2 - (-1*2 ) = 4

e23 = 1*-2-(2*-1) = 0