Summary

We have covered the breadth of linear transformations in this chapter. They are key to understanding the linear algebra that is pervasive in quantum computing. We've also seen how these transformations have been inspired by Euclidean geometry and considered special transformations such as linear operators and linear functionals. Finally, we saw how to do a change of basis, which is a linear transformation as well! Next up, we will go from real numbers into the field of complex numbers.