## Algebra Group 14 Exercises: Complex Numbers

Here are some external links to webplaces discussing complex numbers:

(external link) Wikipedia article on complex numbers

(external link) Purplemath discussion of complex numbers

(external link) Khan Academy discussion of complex numbers

Note: We will use "j" for the imaginary unit.

1. If (3 - j)(5 - 2j) = a + bj, where each of a and b is a real number, then what is a, and what is b?

2. If (3j - 1)(2 - j) = a + bj, where each of a and b is a real number, then what is a, and what is b?

3. If (5 - j)(3 + 4j) = a + bj, where each of a and b is a real number, then what is a, and what is b?

4. If (9 - 7j)(j + 3) = a + bj, where each of a and b is a real number, then what is a, and what is b?

5. If (12 - 5j)(3j - 4) = a + bj, where each of a and b is a real number, then what is a, and what is b?

(click here for all the answers)

(external link) Wikipedia article on complex numbers

(external link) Purplemath discussion of complex numbers

(external link) Khan Academy discussion of complex numbers

Note: We will use "j" for the imaginary unit.

1. If (3 - j)(5 - 2j) = a + bj, where each of a and b is a real number, then what is a, and what is b?

2. If (3j - 1)(2 - j) = a + bj, where each of a and b is a real number, then what is a, and what is b?

3. If (5 - j)(3 + 4j) = a + bj, where each of a and b is a real number, then what is a, and what is b?

4. If (9 - 7j)(j + 3) = a + bj, where each of a and b is a real number, then what is a, and what is b?

5. If (12 - 5j)(3j - 4) = a + bj, where each of a and b is a real number, then what is a, and what is b?

(click here for all the answers)