Question

Calcule a matriz inversa se existir :

Answer 1

A= (2, -3) É só trocar o 3 de lugar com o 2

Answer 2

$\left[\begin{array}{ccc}1&2\\-1&3\end{array}\right]$ . $\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]$ = $\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

$\left \{ {{a+2c=1} \atop {-a+3c=0}} \right.$
5c=1
c=1/5

a +2.1/5 = 1
a +2/5 = 1
a = 3/5

$\left \{ {{b+2d=0} \atop {-b+3d=1}} \right.$
5d=1
d = 1/5

b +2.1/5 = 0
b +2/5 = 0
b = -2/5

A⁻¹= $\left[\begin{array}{ccc}0,6&-0,4\\0,2&0,2\end{array}\right]$