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討論串[線代] 一題證明
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Let A, B and C be n x n matrices. We say that A is similar to B if there is. an n x n non-singular matrix P, such that（P-1）AP = B. Prove each of the.
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因為 A is similar to B，所以存在 non-singular 矩陣 P 使得 P^{-1}AP = B。. 換言之，A = PBP^{-1}。. 令 Q = P^{-1}，我們得到 Q^{-1}BQ = A，因此 B is similar to A。. 因為 A is similar
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