Matematika

Pertanyaan

A=
(1 2)
(1 3)

B=
(3 2)
(2 2)

(AB) -¹ ????

1 Jawaban

  • [tex]AB= \left[\begin{array}{ccc}1&2\\1&3\\\end {array}\right] \left[\begin{array}{ccc}3&2\\2&2\end{array}\right]
    AB= \left[\begin{array}{ccc}1.3+2.2&1.2+2.2\\1.3+3.2&1.2+3.2\\\end{array}\right]
    AB= \left[\begin{array}{ccc}7&6\\9&8\\\end{array}\right] AB^{-1} = \frac{1}{det.AB} [Adjoin~AB]
    AB^{-1} = \frac{1}{7.8~-~6.9} \left[\begin{array}{ccc}8&-6\\-9&7\\\end{array}\right]
    AB^{-1} = \frac{1}{2} \left[\begin{array}{ccc}8&-6\\-9&7\\\end{array}\right] [/tex]
    [tex]
    AB^{-1} = \left[\begin{array}{ccc}4&-3\\- \frac{9}{2} & \frac{7}{2} \\\end{array}\right] [/tex]

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