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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