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for what value of k the matrix has rank 3?

The image provided is a bit blurry, but it seems to show a matrix with elements and a question asking for the value of \( k \) that will make the matrix have a rank of 3. 

To solve this, I need to clarify the matrix elements and structure. Please provide the matrix elements, or I can try to describe what might be in the image based on a typical example. Would you like to proceed this way?

For what value of k the matrix has rank 3?

Explore how to determine the value of k that makes a matrix have a rank of 3. This problem involves key concepts from linear algebra, including matrix rank and the rank theorem. Suitable for undergraduate students.

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