Скачать или смотреть MATHEMATICA Demo: Real Scalar Multiplication of COMPLEX Numbers as VECTORS

This video shows how real scalar multiplication affects complex numbers visually using Mathematica. By dynamically adjusting the scalar λ, we illustrate how multiplying a complex number z by a real number stretches, shrinks, or reflects it across the origin. 📖 Visual Complex Analysis, by Tristan Needham: https://amzn.to/4d18FMP.

🔴 The red vector shows the original complex number z.
🔵 The blue vector shows λz, the rescaled version.

We use Mathematica to demonstrate: Vector dilation (scaling), Contraction (0 ﹤ λ ﹤ 1), Expansion (λ ﹥ 1), and Reflection (λ ﹤ 0)

Great for visual learners exploring complex analysis and transformations!

MATHEMATICA to VISUALIZE Real Scalar Multiples Complex Numbers as VECTORS

#ComplexNumbers #Mathematica #MathVisualization #ScalarMultiplication #VectorMath #STEMeducation #ComplexPlane #mathshorts

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