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Determine whether the following are subspaces of R2×2?

User Micor
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Final answer:

The question attempts to determine if certain sets are subspaces of R2x2, but lacks the necessary specific sets of 2x2 matrices to provide an accurate determination.

Step-by-step explanation:

The question seems to inquire about the concept of subspaces in the context of R2x2, which pertains to the set of all 2x2 matrices. A subspace within this context must fulfill three criteria: it must contain the zero vector, it must be closed under addition, and it must be closed under scalar multiplication. To address this question thoroughly, one would need to have specific sets of 2x2 matrices provided, as the question appears to be missing this crucial part. Without these sets, one cannot determine whether they are indeed subspaces of R2x2.

Furthermore, it is important to note that the mention of vector addition, analytical methods, dimensional consistency, and electric potential seem to be irrelevant typos or mistaken inclusions in the question as they do not pertain to the determination of a subspace within R2x2.

User Dave Simione
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