The modulus, or the absolute value, or even the magnitude, is an expression of the size of a complex number. It's a representation of the distance from the origin on the complex number plane. By using the Pythagorean theorem, we can determine that the magnitude of a complex number of the form a + bi is given by √(a² + b²). This essentially denotes the size of the number.
Topic | Problem | Solution |
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None | Find the magnitude of the complex number \( z = 3… | The magnitude of a complex number \( z = a + bi \) is given by the formula \( |z| = \sqrt{a^2 + b^2… |