Prove the following switching relationships: (а) [А, В-1] 3 - (b) [A, [B, C]] + [B,[C,A]] + [C,[A, B]] = 0 (c) If [F, G] = 0 = [F=1,G] = [F, G-1] = [F=1,G¬1] = 0 (d) If [F,G] = 0=[F",G™] = 0, where m,n integers > 0 (e) If [F,H] = 0 & [G,H] = 0= [F G,H] = 0 В [А, В]В-1, where B-1B %3D BB-1 — 1 [F,G¬1] = [F=1, G-1] %D
Prove the following switching relationships: (а) [А, В-1] 3 - (b) [A, [B, C]] + [B,[C,A]] + [C,[A, B]] = 0 (c) If [F, G] = 0 = [F=1,G] = [F, G-1] = [F=1,G¬1] = 0 (d) If [F,G] = 0=[F",G™] = 0, where m,n integers > 0 (e) If [F,H] = 0 & [G,H] = 0= [F G,H] = 0 В [А, В]В-1, where B-1B %3D BB-1 — 1 [F,G¬1] = [F=1, G-1] %D
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![Prove the following switching relationships:
(а) [А, В -1] %3 -В-1[А, В]В-1, where B-1B %3DBB-1 — 1
(b) [A, [B, C]] + [B,[C,A]] + [C,[A, B]] = 0
(c) If [F,G] = 0= [F=1,G] = [F,G¬1] = [F=1,G¬1] = 0
(d) If [F,G] = 0= [F*,G™] = 0, where m,n integers > 0
(e) If [F,H] = 0 & [G,H] = 0= [F G,H] = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3134545-c2d5-4f24-81a8-8d29a4850429%2F147194b3-072c-4f93-89e1-59192179e130%2Fcvp95g_processed.png&w=3840&q=75)
Transcribed Image Text:Prove the following switching relationships:
(а) [А, В -1] %3 -В-1[А, В]В-1, where B-1B %3DBB-1 — 1
(b) [A, [B, C]] + [B,[C,A]] + [C,[A, B]] = 0
(c) If [F,G] = 0= [F=1,G] = [F,G¬1] = [F=1,G¬1] = 0
(d) If [F,G] = 0= [F*,G™] = 0, where m,n integers > 0
(e) If [F,H] = 0 & [G,H] = 0= [F G,H] = 0
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