Diberikan matriks-matriks: A=(-2 1 5 0) dan B=(3 -4 1 2)

2A-3B = [[-13, 14], [7, -6]] dan 2B-3A = [[12, -11], [-13, 4]]

Pembahasan

Diberikan matriks A = [[-2, 1], [5, 0]] dan B = [[3, -4], [1, 2]].

a. 2A - 3B
2A = 2 * [[-2, 1], [5, 0]] = [[-4, 2], [10, 0]]
3B = 3 * [[3, -4], [1, 2]] = [[9, -12], [3, 6]]
2A - 3B = [[-4, 2], [10, 0]] - [[9, -12], [3, 6]] = [[-4-9, 2-(-12)], [10-3, 0-6]] = [[-13, 14], [7, -6]]

b. 2B - 3A
2B = 2 * [[3, -4], [1, 2]] = [[6, -8], [2, 4]]
3A = 3 * [[-2, 1], [5, 0]] = [[-6, 3], [15, 0]]
2B - 3A = [[6, -8], [2, 4]] - [[-6, 3], [15, 0]] = [[6-(-6), -8-3], [2-15, 4-0]] = [[12, -11], [-13, 4]]