Question

Tentukan determinan matriks

A
[2 -1 3 -1 ]
[-1 -2 -1 -1 ]
[3 3 1 3 ]
[-2 2 -2 2 ]

Answer 1

Verified answer

Materi: Determinan Matriks (lanjutan)
KD: OBE, ekspansi kofaktor

Pembahasan di gambar.
Determinan A = -78

Answer 2

Verified answer

Bab Matriks
Matematika Kuliah

Matriks Ordo 4 x 4

      [ 2  -1  3  -1]
A = [ -1 -2 -1 -1]
      [ 3   3   1  3]
      [-2   2   -2  2]

kofaktor baris

Det (A) = a11 . M11 - a12 . M12 + a13 . M13 - a14 . M14

Det (A)

=  [-2 -1 -1]         [-1 -1 -1]      [-1 -2 -1]        [-1 -2 -1]
  2[ 3   1  3] -(-1) [ 3  1  3] + 3[ 3  3  3] - (-1)[ 3  3   1]
    [2   -2  2]         [ 2 -2 2]       [ -2 2 2]         [-2  2  -2]

= 2(-4 -6 + 6 + 2 - 12 + 6) + 1(-2 -6 + 6 + 2 - 6 + 6) + 3 (-6 + 12 -6 - 6 + 6 + 12) + 1 (6 + 4 -6 - 6 + 2 - 12)
= -16 + 0 + 36 - 12
= 8