Matematika tentukan invers = B = (-3 3) (-5 4)​

jaedenkleinulv – April 08, 2023

tentukan invers = B = (-3 3)
(-5 4)​

MaTriks
orde 2x2
invers

[tex]\sf A^{-1} = \frac{1}{det A} . [adj A][/tex]

Penjelasan dengan langkah-langkah:

[tex]A = \left[\begin{array}{ccc}-3&3\\-5&4\end{array}\right][/tex]
det A = -3(4) - 3(-5)
det A =  -12 + 15
det A =  3

[tex]\sf adj\ A = \left[\begin{array}{ccc}4&-3\\5&-3\end{array}\right][/tex]

[tex]\sf A^{-1} = \frac{1}{det A} . [adj A][/tex]

[tex]\sf A^{-1} = \frac{1}{3} \left[\begin{array}{ccc}4&-3\\5&-3\end{array}\right][/tex]

[tex]\sf A^{-1} = \ \left[\begin{array}{ccc}\frac{4}{3}&-1\\\\\frac{5}{3}&-1\end{array}\right][/tex]

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