Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Appendix A - Review of Complex Numbers - Exercises for A - Problems - Page 795: 5

Answer

$\overline{z}=1-2i$ and $|z|=\sqrt{5}$.

Work Step by Step

Of a complex number $z=a+bi$, $\overline{z}=a-bi$ and $|z|=\sqrt{a^2+b^2}$ Hence here, $\overline{z}=1-2i$ and $|z|=\sqrt{1^2+2^2}=\sqrt{5}$.
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