Matematika

Pertanyaan

diketahui persamaan matriks [tex] \left[\begin{array}{ccc}1&3\\2&5\end{array}\right] \left[\begin{array}{ccc}4&-3\\-1&2\end{array}\right] = \left[\begin{array}{ccc}-1&x\\2y&3\end{array}\right] + \left[\begin{array}{ccc}2&y\\1&1\end{array}\right] [/tex] nilai x+y adalah...

pakai cara yg jelas ya trima kasih

1 Jawaban

  • [tex] \left[\begin{array}{ccc}1.4+3.-1&1.-3+3.2\\2.4+5.-1&2.-3+5.2\end{array}\right] [/tex] = [tex] \left[\begin{array}{ccc}-1+2&x+y\\2y+1&3+1\end{array}\right] [/tex]
    [tex] \left[\begin{array}{ccc}1&3\\3&4\end{array}\right] = \left[\begin{array}{ccc}1&x+y\\2y+1&4\end{array}\right][/tex]
    => 2y + 1 = 3                    => x + y = 3
               2y = 3 - 1                    x + 1 = 3
               2y = 2                               x = 3 - 1
                 y = 1                               x = 2

    maka x + y = 2 + 1 = 3

    maaf jika salah. semoga membantu ^_^

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