A2 June 2019 Paper 2 Q1

1 Given that \(z\) is a complex number, and that \(z^*\) is the complex conjugate of \(z\), which of the following statements is not always true?

Circle your answer. [1 mark]

• \((z^*)^* = z\)
• \(zz^* = |z|^2\)
• \((-z)^* = -(z^*)\)
• \(z - z^* = z^* - z\)