Matematika

Pertanyaan

tolong ya kakak, tugasnya dateline ni
tolong ya kakak, tugasnya dateline ni

1 Jawaban

  • A - kI
    =[tex] \left[\begin{array}{ccc}2&4\\3&1\\\end{array}\right] [/tex] - k[tex] \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] [/tex]
    =[tex] \left[\begin{array}{ccc}2&4\\3&1\\\end{array}\right] [/tex] - [tex] \left[\begin{array}{ccc}k&0\\0&k\\\end{array}\right] [/tex]
    =[tex] \left[\begin{array}{ccc}2-k&0\\3&1-k\\\end{array}\right] [/tex]

    |A-kI| = (2 - k)(1- k ) - (4.3)
    0 =2 - 2k - k + k² -12
    0 = k² - 3k -10
    0 = (k - 5)(k + 2)
    k = 5 & k = -2