Diketahui matriks A=[(2 −4)(0 1)] dan matriks B=[(1 3)(3 −8)], cari Det (A+B)^(t)

Halo, Moeh N. Kakak bantu jawab ya :) Jawabannya adalah −18. Perhatikan penjelasan berikut. Jika matriks A dan B berordo 2x2 dimana A = [(a b)(c d)] dan B = [(e f)(g h)], maka: A + B = [(a+e b+f)(c+g d+h)] det(A) = ad - bc A^(t) = [(a c)(b d) Diketahui: A=[(2 −4)(0 1)] B=[(1 3)(3 −8)] Maka: A+B = [(2 −4)(0 1)] + [(1 3)(3 −8)] = [(2+1 −4+3)(0+3 1−8)] = [(3 −1)(3 −7)] (A+B)^(t) = [(3 3)(−1 −7)] Sehingga: det(A+B)^(t) = 3 . (−7) − 3 . (−1) = −21 − (−3) = −21 + 3 = −18. Jadi, det(A+B)^(t) = −18. Semoga membantu ya :)