阿摩線上測驗
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阿摩線上測驗
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10. (5%) Let S be a subspace of Rn, n ＞ 1. Let dim(S) = m, 1 ＜m ＜n. Let A be a n xn diagonal matrix with positive diagonal entries, but not all entries are equal. Consider the following set: 
Then, T is also a subspace, and its dimension dim(T) = n - m.