Question

Find the adjoint of the matrix `[(2,-2),(4,3)]`.

Answer 1

A = `[(2,-2),(4,3)]`

For a 2 × 2 matrix:

A = `[(a,b),(c,d)]`

C = `[(d,-b),(-c,a)]`

C = `[(3,2),(-4,2)]`

The adjoint (adjugate) matrix is the transpose of the cofactor matrix:

adj(A) = C^T = `[(3,-4),(2,2)]`