The following code snippet is for the _mul____ function in a class called Complex for use with complex numbers. Fill in the single missing line that will allow the class to return the correct value for multiplying two complex numbers. Do not worry about error handling or docstrings. This portion of the code is strictly for when other is also an instance of the Complex class. Assume each instance of the Complex class has attributes real and imag corresponding to the real and imaginary parts of the number. Use proper spacing! def_mul_(self, other): a = self.real * other.real - self.imag* other.imag # Replace this line return Complex(a, b)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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The following code snippet is for the `__mul__` function in a class called `Complex` for use with complex numbers. Fill in the single missing line that will allow the class to return the correct value for multiplying two complex numbers. Do not worry about error handling or docstrings. This portion of the code is strictly for when `other` is also an instance of the `Complex` class.

Assume each instance of the `Complex` class has attributes `real` and `imag` corresponding to the real and imaginary parts of the number. Use proper spacing!

```python
def __mul__(self, other):
    a = self.real * other.real - self.imag * other.imag
    b = self.real * other.imag + self.imag * other.real
    return Complex(a, b)
```

To explain the provided code snippet:

- The `__mul__` method is implemented to handle multiplication of two complex numbers.
- `self` and `other` are two instances of the `Complex` class.
- `a` computes the real part of the product using the formula: (real1 * real2) - (imag1 * imag2).
- `b` computes the imaginary part of the product using the formula: (real1 * imag2) + (imag1 * real2).
- The method returns a new `Complex` object initialized with the calculated real and imaginary parts `a` and `b`.
Transcribed Image Text:The following code snippet is for the `__mul__` function in a class called `Complex` for use with complex numbers. Fill in the single missing line that will allow the class to return the correct value for multiplying two complex numbers. Do not worry about error handling or docstrings. This portion of the code is strictly for when `other` is also an instance of the `Complex` class. Assume each instance of the `Complex` class has attributes `real` and `imag` corresponding to the real and imaginary parts of the number. Use proper spacing! ```python def __mul__(self, other): a = self.real * other.real - self.imag * other.imag b = self.real * other.imag + self.imag * other.real return Complex(a, b) ``` To explain the provided code snippet: - The `__mul__` method is implemented to handle multiplication of two complex numbers. - `self` and `other` are two instances of the `Complex` class. - `a` computes the real part of the product using the formula: (real1 * real2) - (imag1 * imag2). - `b` computes the imaginary part of the product using the formula: (real1 * imag2) + (imag1 * real2). - The method returns a new `Complex` object initialized with the calculated real and imaginary parts `a` and `b`.
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