Question

Find the determinant of $\left[\begin{array}{ccc}i&0\\0&-i\end{array}\right]$

Answer 1

Answer:

$\text {Determinant =}\ }i^2$

Step-by-step explanation:

$\text {Find the determinant of }\left[\begin{array}{ccc}i&0\\0&-i\end{array}\right]$

$\text {Determinant =}\left|\begin{array}{ccc}i&0\\0&-i\end{array}\right|$

$\text {Determinant =}\ }(-i \times -i) - (0 \times 0)$

$\text {Determinant =}\ }i^2$