Evaluate the determinant of $\left|\begin{array}{cc}9 & 0 \\ 8 & -8\end{array}\right|$. \[ \left|\begin{array}{cc} 9 & 0 \\ 8 & -8 \end{array}\right|= \] Submit Question

Step 1 ：Given the matrix $\left|\begin{array}{cc}9 & 0 \ 8 & -8\end{array}\right|$

Step 2 ：The determinant of a 2x2 matrix $\left|\begin{array}{cc}a & b \ c & d\end{array}\right|$ is calculated as \(ad - bc\)

Step 3 ：Substitute a = 9, b = 0, c = 8, d = -8 into the formula

Step 4 ：The determinant is calculated as \( (9*-8) - (0*8) \)

Step 5 ：Simplify to get the determinant as -72

Step 6 ：Final Answer: The determinant of the matrix is \(\boxed{-72}\)