Question

Qual e a inversa da matriz identidade de ordem 2?

Answer 1

Resposta:

 $\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

Explicação passo-a-passo:

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

$\left[\begin{array}{ccc}1*a+0*c&1*b+0*d\\0*a+1*c&0*b+1*d\end{array}\right]$ = $\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

1a=1    a=1                1c=0     c=0

1b=0   b=0               1d=1     d=1

$\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

Espero ter ajudado!