Quiz: Determinants and Systems of Equations

Question 1

1 point

Assume that $\mathit{A}\phantom{\rule{5px}{0ex}}=\phantom{\rule{5px}{0ex}}\left[\begin{array}{ccc}\mathit{a}& 0& 0\\ 1& \mathit{b}& \mathit{b}\\ \mathit{a}& 2& 3\end{array}\right]\phantom{\rule{3pt}{0ex}}$ is invertible.

Find $\mathit{det}\phantom{\rule{5px}{0ex}}\mathit{A}\phantom{\rule{3pt}{0ex}}$.