Matematika

Pertanyaan

Nomor 4 cara nya gimana ya?
Nomor 4 cara nya gimana ya?

1 Jawaban

  • X dirotasi [0, 90°] lalu dicerminkan terhadap sumbu x menghasilkan Y
    Misal
    R = rotasi [0, 90°] = (cos 90° ... - sin 90°) = (0 ... -1)
    ................................... (sin 90° ..... cos 90°) .... (1 ... 0)

    M = pencerminan terhadap sumbu x = (1 .... 0)
    ........................................................................ (0 .. -1)

    (M o R) X = Y maka X = (M o R)^-1 Y ==> X = A Y
    Jadi
    A = (M o R)^-1

    M o R = (1 ... 0) (0 ... -1) = (0 ... -1)
    .............. (0 .. -1) (1 ..... 0) .. (-1 .. 0)

    A = (M o R)^-1 = 1/(-1) (0 ... 1) = (0 ... -1)
    ...................................... (1 ... 0) .. (-1 ... 0)