**Question**Let \[ z_1 = \begin{bmatrix} \frac{1+i}{2} \\ \frac{1-i}{2} \end{bmatrix} \]and \[ z_2 = \begin{bmatrix} \frac{i}{\sqrt{2}} \\ \frac{-1}{\sqrt{2}} \end{bmatrix} \](a) Show that \(\{ z_1, z_2 \}\) is an orthonormal set in \(\mathbb{C}^2\).(b) Write the vector \[ z = \begin{bmatrix} 2 + 4i \\ -2i \end{bmatrix} \]as a linear combination of \(z_1\) and \(z_2\).

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Answered: Let 2 z, and Z2 = %3D ) show {2, ,2z}…

Let 2 z, and Z2 = %3D ) show {2, ,2z} that or thonormal c's an set in O Write the rector as a 2 = - 2 i combenation or z, and 22. linear

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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