MAT 342 Complex Analysis

The Complex number a+bi may be defined as the matrix: a-bba

Addition, Subtract, Multiplication, and all further operations on these objects is precisely what Matrix Algebra (Linear Algebra) dictates they must be.

Example: What is |z|? From Linear Algebra: |z|² = zᵀ z = ab-ba a-bba = a²+b²00a²+b²