Diberikan A=(-1 -2 3 1) dan B=(2 6 -3 4). Tentukan: a.

a. (4 14 -3 14), b. (-7 -18 15 -5), c. (-5 -14 9 -7)

Pembahasan

Diberikan matriks A=(-1 -2 3 1) dan B=(2 6 -3 4).

a. 2A + 3B
2A = 2*(-1 -2 3 1) = (-2 -4 6 2)
3B = 3*(2 6 -3 4) = (6 18 -9 12)
2A + 3B = (-2 -4 6 2) + (6 18 -9 12) = (-2+6 -4+18 6-9 2+12) = (4 14 -3 14)

b. 3A - 2B
3A = 3*(-1 -2 3 1) = (-3 -6 9 3)
2B = 2*(2 6 -3 4) = (4 12 -6 8)
3A - 2B = (-3 -6 9 3) - (4 12 -6 8) = (-3-4 -6-12 9-(-6) 3-8) = (-7 -18 15 -5)

c. A - B - B = A - 2B
A = (-1 -2 3 1)
2B = (4 12 -6 8)
A - 2B = (-1 -2 3 1) - (4 12 -6 8) = (-1-4 -2-12 3-(-6) 1-8) = (-5 -14 9 -7)