Question Detail
Question
Given that z₁ = 2 - i and z₂ = 1 + 3i, find the product of z₁ and z₂.
Correct Answer
Option B is the correct answer.
Detailed Explanation
z₁ × z₂ = (2 - i)(1 + 3i) = 2(1) + 2(3i) - i(1) - i(3i) = 2 + 6i - i - 3i² = 2 + 5i - 3(-1) = 2 + 5i + 3 = 5 + 5i.
Hint
Multiply complex numbers using FOIL method, remembering i² = -1.