tolong jawab soal mtk ini ya kls 11 lks

Mapel : Matematika Wajib (Kelas X SMA)
Materi : Matriks
Indikator : Mencari HP dalam suatu kesamaan matriks

Langkah Penyelesaian dan Jawaban :

[tex] A = \left[\begin{array}{ccc}-x&5\\2&-6\end{array}\right] \\ |A| = -6(-x) - 2(5) \\ |A| = 6x - 10 \\ \\ B = \left[\begin{array}{ccc}2&x\\-2&3\end{array}\right] \\ |B| = 2(3) - (-2)x \\ |B| = 6 + 2x \\\\ |A| = |B| \\ \Rightarrow 6x - 10 = 6 + 2x \\ \Rightarrow 6x - 2x = 6 + 10 \\ \Rightarrow 4x = 16 \\ \therefore \boxed{x = 4}[/tex]