Matematika

Pertanyaan

jangan bosen bantu ya kakak-kakak:)
jangan bosen bantu ya kakak-kakak:)

2 Jawaban

  • [tex]\displaystyle A=\left[\begin{array}{ccc}1&4\\1&3\end{array}\right]\\A^{-1}=\frac{1}{3-4}\left[\begin{array}{ccc}3&-4\\-1&1\end{array}\right]\\A^{-1}=\left[\begin{array}{ccc}-3&4\\1&-1\end{array}\right]\\\\C^T=\left[\begin{array}{ccc}-2&1\\2&1\end{array}\right]\\C=\left[\begin{array}{ccc}-2&2\\1&1\end{array}\right][/tex]

    [tex]\displaystyle A^{-1}+BC=\left[\begin{array}{ccc}-3&4\\1&-1\end{array}\right]+\left[\begin{array}{ccc}-4&3\\2&5\end{array}\right]\left[\begin{array}{ccc}-2&2\\1&1\end{array}\right]\\A^{-1}+BC=\left[\begin{array}{ccc}-3&4\\1&-1\end{array}\right]+\left[\begin{array}{ccc}8+3&-8+3\\-4+5&4+5\end{array}\right]\\\boxed{\boxed{A^{-1}+BC=\left[\begin{array}{ccc}8&-1\\2&8\end{array}\right]}}[/tex]
  • A^-1 = 1/(3-4) |3 -4| = -1 |3 -4| = |-3 4|
    ........................|-1 1 |..........|-1 1|.......|1 -1|

    C = |-2 2|
    .......|1 1|
    BC = |8+3 -8+3| = |11 -5|
    ..........|-4+5 4+5|......|1 9|

    A^-1 + BC = |-3 4| + |11 -5| = |8 -1|
    ......................| 1 -1 |......|1 9|......|2 8|

    jawabannya (A)