[理工] 線代 對角化
板上各位高手大大晚安~ 這題想請教一下
題目:
http://i.imgur.com/CDvhXyL.jpg


這題想請教解答的第二行,為何可以假設滿足這個方程式的A為A=PSP^-1,從那邊可以看出A跟B可以同步對角化呀?為什麼可以使B為對角矩陣的P,也剛好可以滿足A為對角矩陣呢?
另外如果不這樣假設,還有其他的解法嗎?麻煩板上大大幫忙看一下那邊想法有問題,或是有另解可以提供一下,感恩!^^
手機排版請見諒~!
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※ 編輯: dslin (218.164.174.183), 09/02/2015 20:17:55
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