1 0 (2 4 / 1 3)

The image shows a matrix. Since no specific operation is requested, I will find the determinant of the given matrix, which is a common first step when dealing with matrices containing variables.

The given matrix is: $O = \begin{pmatrix} 2 & 2p \\ 1 & 3 \end{pmatrix}$

Step 1: Recall the formula for the determinant of a $2 \times 2$ matrix. For a matrix $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$, the determinant is $ad - bc$.

Step 2: Substitute the values from the given matrix into the formula. Here, $a=2$, $b=2p$, $c=1$, and $d=3$. $\det(O) = (2)(3) - (2p)(1)$

Step 3: Perform the multiplication and subtraction. $\det(O) = 6 - 2p$ The determinant of the matrix is $\boxed{6 - 2p}$.

Drop the next question.