Provide an Appropriate Response $\mathrm { A } = \left[ \begin{array} { l l } \mathrm { c } & 0 \\ 0 & \mathrm {~b} \end{array} \right]$

Multiple Choice

Provide an appropriate response.
-Let $\mathrm { A } = \left[ \begin{array} { l l } \mathrm { c } & 0 \\ 0 & \mathrm {~b} \end{array} \right]$ , where $\mathrm { c }$ and $\mathrm { b }$ are nonzero constants. Find $\mathrm { A } ^ { - 1 }$ .

A)
$$\left[ \begin{array} { l l } \frac { 1 } { c } & 0 \\0 & \frac { 1 } { b }\end{array} \right]$$

B)
$\left[\begin{array}{ll}0 & \mathrm{c} \\\mathrm{b} & 0\end{array}\right]$

C)
$\left[\begin{array}{l}\frac{1}{c} 1 \\1 \frac{1}{b}\end{array}\right]$

D)

$\left[\begin{array}{ll}\mathrm{c} & 0 \\0 & \mathrm{~b}\end{array}\right]$