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請問矩陣的乘法移項
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xian C
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Feb 8, 2016, 8:42:25 AM
2/8/16
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to 黃子嘉 - 線代離散研究室
想問一下矩陣可逆 -> 可以移項
是不是要在最左最右才可以?
像是矩陣ABCD
只有B可逆
ABC = D
B應該沒有辦法移項吧?
Peter
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Feb 8, 2016, 11:46:23 AM
2/8/16
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to zjh...@googlegroups.com
剛開始學的時候,你把移項想成等號左右兩邊同乘同一個矩陣會比較好喔(而且要乘在同一邊)
用你的例子來說的話
ABC = D
→ (B^-1)ABC = (B^-1)D
or
→ ABC(B^-1) = D(B^-1)
AB = D
→ AB(B^-1) = D(B^-1)
→ AI = D(B^-1)
→ A = D(B^-1)
這就是為什麼會讓你有最左或最右才可以"移項"的感覺
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