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Chapter 3: Q12P (page 184)

Verify that the relations in (14.5) follow from (14.4). Hints: For (14.55), take the complex conjugate of (14.4c). To take the complex conjugate of a bracket, use (14.4a).

Short Answer

Expert verified

It is verified that relations in (14.5) follow from (14.4).

Step by step solution

01

Given information

The given information isf(x)=a0+a1x+a2x2+a3x3

02

Definition of Complex Conjugate

The complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

03

Verify the given statement

The inner product

aA+bB|C=a*A|C+b*B|C

Now,

aA+bB|C=ClaA+bB*={aCA+bC|B>*=a*A|C+b*B|B

Therefore,

From the above result, the relation has been verified.

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