Find the cofactor matrix for the matrix  ?

CONCEPT:

In order to find the minor of an element of a determinant, we need to delete the row and column passing through the element aij , thus obtained is called the minor of aij and is usually denoted by Mij .

The co-factor of an element aij is given by (-1)i + j ⋅ Mij, where Mij is the minor of element aij and it is denoted by Cij.

Thus 

CALCULATION:

Given: 

Here, we have to find the cofactor matrix for the given matrix A

As we know that, the cofactor of an element aij is given by: 

⇒ 

⇒ 

⇒ 

Similarly, we can say that C₂₁ = - 8, C₂₂ = - 13 and C₂₃ = 6

Similarly, we can also say that, C₃₁ = 1, C₃₂ = - 1 and C₃₃ = 1

So, the required cofactor matrix is 

Hence, option B is the correct answer.