Matematika

Pertanyaan

diketahui matriks A = (5 3)
.                                    (3 2)

dan B = (4 -2)
.             (-6 3)

Matriks X yang memenuhi XA + B = X adalah

1 Jawaban

  • Matrix
    (a b) (5 3) + (4 -2) = (a b)
    (c d) (3 2) (-6 3) (c d)

    (5a+3b+4 3a+2b-2) = (a b)
    (5c+3d-6 3c+2d+3) (c d)

    4a+3b=-4 ; 3a+b=2 -> a = 2, b = -4
    4c+3d=6 ; 3c+d=-3 -> c = -3, d = 6

    Hence,
    X = (2 -4) -> Jawab
    (-3 6)

Pertanyaan Lainnya