Disajikan matriks-matriks berikut. A =(3 2 1 -2 0 1), B

[[2, 8, 14], [-10, -6, 4]]

Pembahasan

Diberikan matriks:
A = [[3, 2, 1], [-2, 0, 1]]
B = [[-7, 0, 3], [2, -2, -3]]
C = [[0, -1, -4], [3, 2, -2]]

Kita diminta untuk menghitung hasil operasi 3A + B - 2C.

Pertama, kita hitung 3A:
3A = 3 * [[3, 2, 1], [-2, 0, 1]] = [[3*3, 3*2, 3*1], [3*(-2), 3*0, 3*1]] = [[9, 6, 3], [-6, 0, 3]]

Kedua, kita hitung 2C:
2C = 2 * [[0, -1, -4], [3, 2, -2]] = [[2*0, 2*(-1), 2*(-4)], [2*3, 2*2, 2*(-2)]] = [[0, -2, -8], [6, 4, -4]]

Ketiga, kita hitung 3A + B:
3A + B = [[9, 6, 3], [-6, 0, 3]] + [[-7, 0, 3], [2, -2, -3]]
          = [[9+(-7), 6+0, 3+3], [-6+2, 0+(-2), 3+(-3)]]
          = [[2, 6, 6], [-4, -2, 0]]

Keempat, kita hitung (3A + B) - 2C:
(3A + B) - 2C = [[2, 6, 6], [-4, -2, 0]] - [[0, -2, -8], [6, 4, -4]]
              = [[2-0, 6-(-2), 6-(-8)], [-4-6, -2-4, 0-(-4)]]
              = [[2, 6+2, 6+8], [-10, -6, 0+4]]
              = [[2, 8, 14], [-10, -6, 4]]

Hasil operasi 3A + B - 2C adalah matriks [[2, 8, 14], [-10, -6, 4]].