jikaA=[2 4.1 3] maka A-1 adalah

Det A= 2x3 - 4x1 = 6 - 4 = 2

ajoin A = [ 3 -4 ]
-1 2

A-1 = 1/Det A (ajoinA)
A-1 = 1/2 [ 3 -4]
-1 2

A-1 = [ 3/2 -2]
-1/2 1

[tex]\displaystyle A=\left[\begin{array}{ccc}2&4\\1&3\end{array}\right]\\\\A^{-1}=\frac1{|A|}\text{Adj } A\\A^{-1}=\frac1{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right]\\A^{-1}=\frac1{2\cdot3-1\cdot4}\left[\begin{array}{ccc}3&-4\\-1&2\end{array}\right]\\A^{-1}=\frac1{2}\left[\begin{array}{ccc}3&-4\\-1&2\end{array}\right]\\\boxed{\boxed{A^{-1}=\left[\begin{array}{ccc}\frac32&-2\\-\frac12&1\end{array}\right]}}[/tex]