Diketahui matriks A = [(2 −1)(3 0)]. Hasil dari A²−2A=…. A. [(3 0)(0 3)] B. [(0 3)(3 0)] C. [(−3 0)(0 −3)] D. [(3 0)(0 3)] E. [(0 3)(−3 0)]

Halo Fania :D Jawaban: C. [(−3 0)(0 −3)] Perhatikan konsep perkalian matriks berikut: = [(a b)(c d)] x [(e f)(g h)] = [(ae+bg af+bh)(ce+dg cf+dh)] = m x [(a b)(c d)] = [(am bm)(cm dm)] Perhatikan juga konsep pengurangan matriks berikut: = [(a b)(c d)] - [(e f)(g h)] = [(a-e b-f)(c-g d-h)] Diketahui matriks A = [(2 −1)(3 0)] Hasil dari A²−2A =…. Pembahasan: A² = A x A A² = [(2 −1)(3 0)] x [(2 −1)(3 0)] A² = [(2(2)−1(3) 2(-1)−1(0)) (3(2)+0(3) 3(-1)+0(0))] A² = [(4−3 -2−0) (6+0 -3+0)] A² = [(1 -2)(6 -3)] 2A = 2 x [(2 −1)(3 0)] 2A = [(2(2) −1(2))(3(2) 0(2))] 2A = [(4 −2)(6 0)] 2A = [(4 −2)(6 0)] A² - 2A = [(1 -2)(6 -3)] - [(4 −2)(6 0)] A² - 2A = [(1-4 -2-(-2))(6-6 -3-0)] A² - 2A = [(-3 0)(0 -3)] Jadi, nilai dari A² - 2A = [(-3 0)(0 -3)] pilihan jawaban yang tepat adalah C.