Diketahui
.
Terlebih dahulu, cari masing-masing nilai minornya, lalu tentukan kofaktornya.
Hilangkan elemen pada baris 1 dan kolom 1 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 1 dan kolom 2 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 1 dan kolom 3 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 2 dan kolom 1 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 2 dan kolom 2 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 2 dan kolom 3 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 3 dan kolom 1 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 3 dan kolom 2 sehingga didapat hasil sebagai berikut.

Hilangkan elemen pada baris 3 dan kolom 3 sehingga didapat hasil sebagai berikut.

Oleh karena itu, diperoleh matriks kofaktornya sebagai berikut.

Dengan demikian, adjoinnya adalah sebagai berikut.

Selanjutnya, cari determinan matriks
dengan metode Sarrus.

Dengan demikian, invers dari matriks A adalah sebagai berikut.

Jadi, jawaban yang tepat adalah B.