Re: [線代] 矩陣 AB=I => BA = I 嗎
※ 引述《kyoiku (生死間有大恐怖)》之銘言：
: 反方陣的定義
: AB = BA = I，則 B 稱為 A 的反矩陣
: 如果只有 AB = I 那是否必然 BA = I 呢
: 如何證明？
AB = I
左邊同乘A^-1 <=> (A^-1)(AB)=(A^-1)I
<=> B = (A^-1)
右邊同乘A <=> BA = (A^-1)(A) = I
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