Question

genteeeee me ajudem ​

Answer 1

Resposta:

Explicação passo-a-passo:

A inversa de uma matriz A ( denominamos A-¹ ) é tal que:

$(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] )^{-1} =\\\\\\= \frac{1}{|A|} .\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right] \\\\\\= \frac{1}{ad-cb} .(\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right] )$

Logo:

a.d = 1 . 3 = 3

c.b = 1 . 2 = 2

$A^{-1} =\frac{1}{3-2} .(\left[\begin{array}{ccc}3&-2\\-1&1\\\end{array}\right] )$

$A^{-1} = 1 . (\left[\begin{array}{ccc}3&-2\\-1&1\\\end{array}\right] )\\\\\\A^{-1} = \left[\begin{array}{ccc}3&-2\\-1&1\\\end{array}\right]$=> resposta