Ujian Nasional

Pertanyaan

Diketahui matrik A=(a+c. D-b)
(4. -4)
Dan B=(-4. C+5)
(1. 4b) jika A=Bt nilai dari
(a-b+c+2d) adalah.....

1 Jawaban

  • Matriks A =
    | a+c d-b |
    | 4 -4 |

    Matriks B =
    | -4 c+5 |
    | 1 4b |

    Matriks Bt =
    |-4 1 |
    | c+5 4b |

    Jika, A = Bt, maka:
    a+c = -4 ...(1)
    d-b = 1 ...(2)
    c+5 = 4 ...(3)
    <=> c = 4-5 = -1
    4b = -4 ...(4)
    <=> b = -4/4 = -1

    Subtitusi c = -1 ke (1)
    a+(-1) = -4
    a = -3
    Subtitusi b = -1 ke (2)
    d-(-1) = 1
    d = 0

    Maka, a+b+c+2d = (-3)+(-1)+(-1)+2(0) = -5.

    Semoga membantu yaa ^_^

Pertanyaan Lainnya