Show that x1(t) and x2(t) given by equations (4) and (5)
Chapter 9, Problem 16E(choose chapter or problem)
16. Show that \(x_{1}(t) \text { and } x_{2}(t)\) given by equations (4) and (5) can be obtained as linear combinations of \(w_{1}(t) \text { and } w_{2}(t)\) given by equations (2) and (3). [Hint: Show that
\(x_{1}(t)=\frac{w_{1}(t)+w_{2}(t)}{2}, x_{2}(t)=\frac{w_{1}(t)-w_{2}(t)}{2 i} \end{aligned}\)
Equation Transcription:
Text Transcription:
x1(t) and x2(t)
w1(t) and w2(t)
x1(t)=w1(t) + w2(t)2, x2(t)=w1(t) - w2(t)2i
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