- #1

- 35

- 0

## Homework Statement

The set of complex numbers C is a vector space over R. Note that {1, i} is the basis for C as a real vector space. Define:

T(z) = (3+4i)z

What is the matrix for T in the basis {1,i}

## Homework Equations

Dimension of the matrix (n,m) = n x m

## The Attempt at a Solution

I know the dimension of this matrix is 1 x i = i. But I don't know where to go from here. We haven't learned matrices for complex numbers, and I'm very confused by the concept of having something as i-dimensional.