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

Answer

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

Steps

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 \(\boxed{2}\)

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

Answer

Popular Problems

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