Evaluate the determinant. \[ \left|\begin{array}{ll} -2 & 2 \\ -6 & 5 \end{array}\right| \] The determinant is (Simplify your answer.)

Step 1 ：We are given a 2x2 matrix and asked to evaluate its determinant. The matrix is \[\left|\begin{array}{ll} -2 & 2 \\ -6 & 5 \end{array}\right|\]

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

Step 3 ：In this case, a = -2, b = 2, c = -6, and d = 5.

Step 4 ：So, we need to calculate (-2*5) - (2*-6).

Step 5 ：By performing the calculation, we find that the determinant is 2.

Step 6 ：Final Answer: The determinant of the given matrix is \(\boxed{2}\)