https://r2.erweima.ai/mathbot/image/1725601303591793jx48b.jpg

The image you uploaded contains a linear algebra problem. It seems to be about finding whether a vector is a linear combination of other vectors and determining the coefficients (also called weights or scalars) for this linear combination. 

From what I can decipher, the problem involves:

- Three vectors \( \vec{b_1}, \vec{b_2}, \vec{b_3} \)
- A vector \( \vec{b} \)
- The goal is to express \( \vec{b} \) as a linear combination of \( \vec{b_1}, \vec{b_2}, \vec{b_3} \), meaning:
  \[
  \vec{b} = c_1 \vec{b_1} + c_2 \vec{b_2} + c_3 \vec{b_3}
  \]
  
The vectors seem to be written in matrix form, so the next step would be to set up a system of linear equations to solve for the coefficients \( c_1, c_2, c_3 \).

Would you like me to extract and solve the specific system for the scalars, or provide additional context for this problem? Let me know if you'd like to zoom in on any part of the image or further explanation.

Determine whether the vector b can be expressed as a linear combination of the vectors b1, b2, and b3. Solve the system to find the values of the scalars.

Find out how to express a vector as a linear combination of other vectors by solving a system of linear equations. This detailed solution walks through the necessary steps in Linear Algebra, including the concept of linear independence and matrix representation.

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