Find the value of the determinant.
\[
\left|\begin{array}{ll}
-3 & 2 \\
-1 & 2
\end{array}\right|
\]

Answer

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Answer

Final Answer: The value of the determinant is \(\boxed{-4}\)

Steps

Step 1 ：Given the matrix \[\left|\begin{array}{ll} -3 & 2 \\ -1 & 2 \end{array}\right|\]

Step 2 ：The determinant of a 2x2 matrix \[\left|\begin{array}{ll} a & b \\ c & d \end{array}\right|\] is calculated as ad - bc.

Step 3 ：In this case, a = -3, b = 2, c = -1, and d = 2.

Step 4 ：So, the determinant would be (-3*2) - (2*-1) = -4.

Step 5 ：Final Answer: The value of the determinant is \(\boxed{-4}\)