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: 2


$\overline{z}=3+4i$ and $|z|=5$.

Work Step by Step

Of a complex number $z=a+bi$, $\overline{z}=a-bi$ and $|z|=\sqrt{a^2+b^2}$ Hence here, $\overline{z}=3-(-4i)=3+4i$ and $|z|=\sqrt{3^2+(-4)^2}=\sqrt{25}=5$.
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