Problem 4. The Hermitian conjugate A¹ of a linear operator can be defined by (AO) = (A¹0) Use this definition, along with the definition of the inner product of two functions, (v10) = [ ** (x)0(x) dx (where the weight function w(r) is taken to be 1), to show that i) ii) (AB)¹ =B¹A¹ əx²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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.giffgaff
ii)
22:52
←
Photo
Problem 4. The Hermitian conjugate At of a linear operator can be defined by
(Ao) (A¹0)
Use this definition, along with the definition of the inner product of two functions,
[ &*(x)o(x) dr
(where the weight function w(r) is taken to be 1), to show that
i)
(10) =
(AB) =B¹ At
2²
لك
DO
8²
əx²
37%
Done
Transcribed Image Text:.giffgaff ii) 22:52 ← Photo Problem 4. The Hermitian conjugate At of a linear operator can be defined by (Ao) (A¹0) Use this definition, along with the definition of the inner product of two functions, [ &*(x)o(x) dr (where the weight function w(r) is taken to be 1), to show that i) (10) = (AB) =B¹ At 2² لك DO 8² əx² 37% Done
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