Let&nbsp;\(\lambda\) be a real number and \(z = x + yi\). Then the (scalar) multiplication of \(z\) by \(\lambda\), denoted by \(\lambda z\), is calculated as
\[\lambda z = \lambda(x + yi) := (\lambda x) + (\lambda y)i.\]

Let \(\lambda\) be a real number and \(z = x + yi\). 
Then the **(scalar) multiplication** of \(z\) by \(\lambda\), denoted by \(\lambda z\), is calculated as

\[\lambda z = \lambda(x + yi) := (\lambda x) + (\lambda y)i.\]

Introduction to Complex Numbers

Complex Numbers

International Baccalaureate Higher Level Mathematics

Scalar multiplication of a complex number

Scalar multiplication of a complex number