## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Complex Numbers

Rotation in the Complex Plane

Linear Algebra

### Formulas

ζ = e^(iθ) = cos(θ) + i sin(θ)

Rotation matrix: [[cos(θ), -sin(θ)], [sin(θ), cos(θ)]]

### Theorems

Euler's Formula: e^(iθ) = cos(θ) + i sin(θ)

Rotation of the complex plane by multiplication of complex numbers

### Suitable Grade Level

Undergraduate level (Advanced Linear Algebra, Complex Analysis)

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