Hai
sobat I-Math, kali ini kami akan memberikan materi tentang matriks ordo 3 x 3
atau sering dikenal dengan matriks ordo 3. Yang akan dibahas di sini adalah cara
menentukan determinan matriks ordo 3 dengan metode/Aturan Sarrus. Dalam metode
ini, cara menentukan determinannya dengan mengalikan silang elemen-elemen yang
didalam matris tersebut searah diagonal. Adapun arah perkaliannya dengan ke atas
dan ke bawah.
Bentuk
matriks ordo 3 ditulis sebagai berikut.
Bagaimana
cara menentukan determinan matriks ordo 3 x 3 tersebut?
Jika
terdapat matriks ordo 3 x 3 tersebut, cara menghitung detreminannya dengan cara
Aturan Sarrus berikut.
Det
A = a11 × a22 × a33 + a12× a23
× a31 + a13 × a21 × a32
– (a31 × a22 × a13
+ a32× a23 × a11 + a33 × a21
× a12)
Jika
dijabarkan menjadi:
Det
A = a11 × a22 × a33 + a12× a23
× a31 + a13 × a21 × a32
– a31 × a22 × a13
– a32× a23 × a11 – a33 × a21
× a12
Untuk
lebih jelasnya perhatikan beberapa contoh berikut ini.
Tentukan
determinan matriks berikut.
Jadi,
Determinan Matriks A adalah – 31.
Jadi,
Determinan Matriks B adalah – 12.
Nah, Demikianlah sedikit materi tentang cara menghitung atau menentukan determinan matriks ordo 3 x 3. Semoga Anda sudah mengerti dan semakin menyukai matematika.
Untuk menambah pemahamanmu, Coba Anda
tentukan nilai determinan matriks berikut.
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