Matematika

Pertanyaan

bantu dong please :( nomor 3 4 dan 5 tolong yah :(
bantu dong please :( nomor 3 4 dan 5 tolong yah :(

2 Jawaban

  • no.3
    jawab: a = 2
              b = 2a ⇔2.2 = 4
              c = ab ⇔ 2.4 = 8
    jadi a+b+c = 2+4+8 =14

    no.4
    jawab = [tex] \left[\begin{array}{ccc}3&1\\2&-2\end{array}\right] + 2 \left[\begin{array}{ccc}1&5\\-1&2\end{array}\right] [/tex]
              = [tex] \left[\begin{array}{ccc}3&1\\2&-2\end{array}\right] + \left[\begin{array}{ccc}2&10\\-2&4\end{array}\right] [/tex]
              = [tex] \left[\begin{array}{ccc}6-2&30+4\\4+4&20-8\end{array}\right] [/tex]
              = [tex] \left[\begin{array}{ccc}4&34\\8&16\end{array}\right] [/tex]
    det [tex] \left[\begin{array}{ccc}4&34\\8&16\end{array}\right] [/tex] = 64-272 = -208
    adjoint = [tex] \left[\begin{array}{ccc}4&34\\8&16\end{array}\right] [/tex]
               = [tex] \left[\begin{array}{ccc}16&-34\\-8&4\end{array}\right] [/tex]
    [tex](A+2B) ^{-1} [/tex] = [tex] \left[\begin{array}{ccc}-1/13&17/104\\1/26&-1/52\end{array}\right] [/tex]

    maaf kalo salah ya..
  • No 3.
    [tex] \left[\begin{array}{ccc}5&a&3\\b&2&c\end{array}\right] = \left[\begin{array}{ccc}5&2&3\\2a&2&ab\end{array}\right][/tex]
    cari yg seletak, maka:
    *a = 2
    *b=2a
     b=2x2=4
    *c=a.b
     c=2x4=8
    jadi a+b+c=2+4+8=14

    4.
    [tex] \left[\begin{array}{ccc}3&1\\2&-2\end{array}\right] + \left[\begin{array}{ccc}2&10\\-2&4\end{array}\right] = \left[\begin{array}{ccc}5&1\\0&2\end{array}\right] [/tex]
    (A+2B)⁻¹ = 5x2 - 11x0
                 = 10

    5.
    [tex] \left[\begin{array}{ccc}1&2\\4&3\end{array}\right] X \left[\begin{array}{ccc}3&1\\-2&-3\end{array}\right] = \left[\begin{array}{ccc}-1&-5\\-6&-5\\\end{array}\right] [/tex]

    koreksi lagi ya :3

    yg bonus
    5x+y=-5      x2    10x+2y=-10 
    2x+2y=14    x5    10x+10y=70
                               ------------------ -
                               -8y=-80
                                 y=10

    subsitusikan ke salah satu nya :
    5x+y=-5
    5x+10=-5
    5x=-5-10
    5x=-15
    x=-3