MENENTUKAN DETERMINAN 4 ORDO MENGGUNAKAN METODE MINOR KOFAKTOR

Misalkan kita mempunyai soal seperti dibawah ini :

1.       Dengan metode baris

Pilih  baris mana yang akan menjadi patokan pengerjaan. Disini saya menggunakan baris ke-1 sebagai patokan. Maka Determinan dari A adalah  Det A = 1 (k₁₁)+4(k₁₂)+1(k₁₃)+-2(k₁₄)

Dimana :

 

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Sehingga  Determinan A adalah sebagai berikut :

Det A = 1 (k₁₁)+4(k₁₂)+1(k₁₃)+(-2)(k₁₄)

            = -20 + 4(100) + -144 + -2(32)

            = 400 – 228

            = 172

2.     Dengan Metode Kolom

Untuk metode kolom, maka patokan yang digunakan adalah kolom. Saya menggunakan kolom ke-4 sebagai patokan. Maka Det A = -2 (k₁₁) + 4(k₁₂) + 1(k₁₃) - 1(k₁₄)

Dimana :

Sehingga  Determinan A adalah sebagai berikut :

Det A =-2 (k₁₁)+4(k₁₂)+1(k₁₃)+(-1)(k₁₄)

            = -2 (32) + 4(50) + (-12)  + (-1)( -48)

            = 248 – 76

            = 172

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