The image presents a vector algebra problem. It defines three vectors $A = \begin{pmatrix} 2 \\ 3 \end{pmatrix}$, $B = \begin{pmatrix} -1 \\ 5 \end{pmatrix}$, and $C = \begin{pmatrix} 1 \\ 0 \end{pmatrix}$. The goal is to compute $2A + B - C$.

Let's proceed step by step:

1. Compute $2A$: $2A = 2 \times \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 4 \\ 6 \end{pmatrix}$

2. Add $B$ to $2A$: $2A + B = \begin{pmatrix} 4 \\ 6 \end{pmatrix} + \begin{pmatrix} -1 \\ 5 \end{pmatrix} = \begin{pmatrix} 4 + (-1) \\ 6 + 5 \end{pmatrix} = \begin{pmatrix} 3 \\ 11 \end{pmatrix}$

3. Subtract $C$ from the result: $2A + B - C = \begin{pmatrix} 3 \\ 11 \end{pmatrix} - \begin{pmatrix} 1 \\ 0 \end{pmatrix} = \begin{pmatrix} 3 - 1 \\ 11 - 0 \end{pmatrix} = \begin{pmatrix} 2 \\ 11 \end{pmatrix}$

Thus, the result of $2A + B - C$ is $\begin{pmatrix} 2 \\ 11 \end{pmatrix}$.

Would you like any further details or clarifications? Here are 5 related questions to expand on this topic:

1. What are the properties of vector addition and scalar multiplication?
2. How do you represent vector operations geometrically?
3. Can you compute $3A - 2B + C$ for the same vectors $A$, $B$, and $C$?
4. How do vector operations relate to matrix operations?
5. How can you use vector operations to solve real-world problems?

Tip: Always keep track of the order of operations when performing vector arithmetic to avoid errors.