Prove that for the operators A, B, and C, the following identities are valid: (a) [B, A] = [A, B] (b) [A + B, C] = [A, C] + [B, C] (c) [A, BC] = [A, B] C+B [A, C]

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Prove that for the operators A, B, and C, the following identities are valid:
(a) [B, A] =
(b) [A + B, C]
(c) [A, BC]
[A, B]
= [A, C] + [B, C]
[A, B] C+B [A, C]
Transcribed Image Text:Prove that for the operators A, B, and C, the following identities are valid: (a) [B, A] = (b) [A + B, C] (c) [A, BC] [A, B] = [A, C] + [B, C] [A, B] C+B [A, C]
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