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The image you uploaded seems to relate to a problem regarding the closure of a set under addition. To address the problem, I will need to know more about the specific set involved in the question. Could you please provide details about the set in question, or describe the sets \( u \) and \( v \) for which closure under addition is being tested?

This set is closed under addition. If this is false, a counterexample is given by u = [matrix] and v = [matrix].

Investigate whether a given set of matrices is closed under addition. This problem tests key concepts in matrix algebra and the closure property, offering a detailed step-by-step explanation. Suitable for students in Grades 10-12.

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