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The text in the image you uploaded is in Chinese and appears to be from a mathematical textbook or problem set. Here is the translation and interpretation of the text:

```
例 2 对 R^n 中的 V1 = V1, V2 = V2, V3 = V3， 把线性组合 3V1 - 5V2 + 7V3 表示为矩阵乘向量的形式。
```

Translation:

```
Example 2: For V1 = V1, V2 = V2, V3 = V3 in R^n, express the linear combination 3V1 - 5V2 + 7V3 in the form of a matrix multiplied by a vector.
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Explanation:
This example is about expressing a linear combination of vectors \(3V_1 - 5V_2 + 7V_3\) in the form of a matrix-vector multiplication. Here, \(V_1\), \(V_2\), and \(V_3\) are vectors in \(R^n\), and the linear combination can be represented as:

\[ \begin{bmatrix} V_1 & V_2 & V_3 \end{bmatrix} \begin{bmatrix} 3 \\ -5 \\ 7 \end{bmatrix} \]

where the matrix \(\begin{bmatrix} V_1 & V_2 & V_3 \end{bmatrix}\) contains the vectors \(V_1\), \(V_2\), and \(V_3\) as its columns, and the vector \(\begin{bmatrix} 3 \\ -5 \\ 7 \end{bmatrix}\) contains the coefficients of the linear combination.

Would you like more details or have any questions about this example?

Here are 5 numbered questions for you to ask:

1. How can we determine if a set of vectors is linearly independent?
2. What is the process for finding the matrix representation of a linear transformation?
3. Can you explain the concept of vector spaces and subspaces?
4. How do you perform matrix multiplication step by step?
5. What are some common applications of linear algebra in real-world problems?

Tip: When working with linear combinations and matrix representations, it's essential to understand the properties of vector spaces and how linear transformations can be represented using matrices.

Understand how to express the linear combination 3V1 - 5V2 + 7V3 from a mathematical textbook in R^n as a matrix-vector multiplication. This example covers fundamental concepts of linear algebra and matrix operations.

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