Diketahui matriks - matriks A=(,(,2,,−3,),,(,1,,6,),),B=(,(,3,,4,),,(,−1,,2,),) dan C=(,(,−2,,0,),,(,5,,7,),) Tentukan matriks : d. (A+C)−(B+c)

Jawaban: [(–1 –7) (2 4)] Konsep! Jika matriks A = [(a b)(c d)] dan matriks B = [(p q)(r s)], maka: * Penjumlahan matriks A + B = [(a b)(c d)] + [(p q)(r s)] A + B = [(a+p b+q)(c+r d+s)] * Pengurangan matriks A – B = [(a b)(c d)] – [(p q)(r s)] A – B = [(a–p b–q)(c–r d–s)] Pembahasan: A + C = [(2 –3) (1 6)] + [(–2 0) (5 7)] A + C = [(2+(–2) –3+0) (1+5 6+7)] A + C = [(2–2 –3) (6 13)] A + C = [(0 –3) (6 13)] B + C = [(3 4) (–1 2)] + [(–2 0) (5 7)] B + C = [(3+(–2) 4+0) (–1+5 2+7)] B + C = [(3–2 4) (4 9)] B + C = [(1 4) (4 9)] Maka, (A+C) − (B+C) = [(0 –3) (6 13)] – [(1 4) (4 9)] = [(0–1 –3–4) (6–4 13–9)] = [(–1 –7) (2 4)] Jadi, matriks (A+C) − (B+C) adalah [(–1 –7) (2 4)].