📘 algebra, trigonometry, geometry, linear algebra

1. **Find the modulus and argument of** $z = 3 + 4i$. - The modulus is given by $$|z| = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5.$$

1. Problem: Given $z = 3 + 4i$, find the modulus $|z|$ and the argument of $z$. Step 1: The modulus of a complex number $z = a + bi$ is given by $$|z| = \sqrt{a^2 + b^2}.$$ Here, $