Latihan Soal Essay Determinan Matriks Ordo 3 X 3

Minggu, 03 Maret 2024

1.     Diketahui , tentukan:

a.       Determinan matriks A dengan Metode Sarrus

b.       Adjoint matriks A dengan Metode Kofaktor

Alternatif Penyelesaian:

a.     Diketahui 

Determinannya dengan metode Sarrus

= ((1)(–4)(–1) + (2)(2)(5) + (0)(3)(6)) –

   ((0)(–4)(5) + (1)(2)(6) + (2)(3)(–1))

= (4 + 20 + 0) – (0 + 12 + (–6))

= 24 – 6

= 18

 

b.     Metode Kofaktor

i)         Minor

 

ii)      Kofaktor
𝐾₁₁ = (–1)² ⋅ 43 = 1 ⋅ 43 = 43
𝐾₁₂ = (–1)³ ⋅ 12 = –1 ⋅ 12 = –12
𝐾₁₃ = (–1)⁴ ⋅ 15 = 1 ⋅ 15 = 15
𝐾₂₁ = (–1)³ ⋅ 3 = –1 ⋅ 3 = –3
𝐾₂₂ = (–1)⁴ ⋅ 1 = 1 ⋅ 1 = 1
𝐾₂₃ = (–1)⁵ ⋅ 1 = –1 ⋅ 1 = –1
𝐾₃₁ = (–1)⁴ ⋅ 8 = 1 ⋅ 8 = 8
𝐾₃₂ = (–1)⁵ ⋅ 43 = -1 ⋅ 2 = –2
𝐾₃₃ = (–1)⁶ ⋅ 3 = 1 ⋅ 3 = 3

 

Sumber

Labels: Matematika

Thanks for reading Latihan Soal Essay Determinan Matriks Ordo 3 X 3. Please share...!