Matematika

Pertanyaan

Berikan dua matriks A dan dua matriks B yang memenuhi kesamaan:
[tex](A+B)^t = (A^t + B)[/tex]

1 Jawaban

  • misal,
    [tex]A= \left[\begin{array}{ccc}1&1\\1&1\end{array}\right] , B= \left[\begin{array}{ccc}1&1\\1&1\end{array}\right] \\ A^T= \left[\begin{array}{ccc}1&1\\1&1\end{array}\right] \\ (A^T+B)= \left[\begin{array}{ccc}1&1\\1&1\end{array}\right]+ \left[\begin{array}{ccc}1&1\\1&1\end{array}\right]= \left[\begin{array}{ccc}2&2\\2&2\end{array}\right] \\ (A+B)^T= \left[\begin{array}{ccc}1&1\\1&1\end{array}\right]+ \left[\begin{array}{ccc}1&1\\1&1\end{array}\right]= \left[\begin{array} {ccc}2&2\\2&2\end{array}\right] \\ [/tex]
    maka,
    [tex](A+B)^T=(A^T+B)[/tex]

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