Matematika

Pertanyaan

tentukan matriks x dan persamaan berikut:
X (-17. -6) = (4. 0)
(10. 4) (-1. 2)

1 Jawaban

  • Matriks
    Kelas X

    [tex] X \left(\begin{array}{cc}-17 & -6 \\ 10 & 4 \end{array}\right) = \left(\begin{array}{cc}4 & 0 \\ -1 & 2 \end{array}\right) \\
    \\
    \left(\begin{array}{cc}-17 & -6 \\ 10 & 4 \end{array}\right)^{-1} = \frac{1}{-68+60} \left(\begin{array}{cc}4 & 6 \\ -10 & -17 \end{array}\right) \\
    = \frac{1}{-8} \left(\begin{array}{cc}4 & 6 \\ -10 & -17 \end{array}\right) \\
    = \left(\begin{array}{cc} - \frac{1}{2} & - \frac34 \\ \frac54 & \frac{17}{8} \end{array}\right) [/tex]

    [tex] X = \left(\begin{array}{cc}4 & 0 \\ -1 & 2 \end{array}\right) \left(\begin{array}{cc}-17 & -6 \\ 10 & 4 \end{array}\right)^{-1} \\
    X = \left(\begin{array}{cc}4 & 0 \\ -1 & 2 \end{array}\right) \left(\begin{array}{cc} - \frac{1}{2} & - \frac34 \\ \frac54 & \frac{17}{8} \end{array}\right) \\
    X = \left(\begin{array}{cc} - 2 & - 3 \\ 3 & 5 \end{array}\right) [/tex]

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