Question

Tentukan penyelesaian dari SPLDV berikut dg cara matriks invers dan determinan :

1.
2.

Answer 1

untuk no 1)

(3  -2)(x)  = (5)
(1  2 )(y)      (8)

(x) = 1/8 (2  2)(5)
(y)          (-1  3)(8)

(x) = (1/4  1/4)(5)
(y)   (-1/8  3/8)(8)

(x) = (5/4 + 8/4)
(y)    (-5/8 + 24/8)

(x) = (13/4)
(y)    (19/8)

yg no 2)

(3  -2)(x) = (3)
(4  -1)(y)    (14)

(x) = 1/5 (-1  2)(3)
(y)           (-4  3)(14)

(x) = (-1/5  2/5)(3)
(y)    (-4/5  3/5)(14)

(x) = (-3/5 + 28/5)
(y)    (-12/5 + 42/5)

(x) = (25/5)
(y)    (30/5)

(x) = (5)
(y)    (6)