[線代] 甚麼時候 A^T B C = C^T B A ??

[singlovesong (~"~)]

as title


A 是 n-dim vector

B 是 nxn matrix

C 是 n-dim vector

請問甚麼樣的情況下 A(transpose)BC  = C(transpose)BA 呢?


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◆ From: 140.109.135.198
→ a88241050   :A=C的時候...
→ ejialan     :(A^T BC)^T=C^T B^T A=C^T B A if B=B^T
→ ejialan     :又A^T BC 為純量A^T BC = (A^T BC)^T