Effect of Matrix Multiplication on Vectors
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This example demonstrates how matrix multiplication alters vector direction and magnitude. It involves core math concepts like matrix operations, vector space transformations, and linear algebra fundamentals. Constructed using GeoGebra commands/objects such as Vector, Sequence, and Textfield, it features interactive elements like buttons and input boxes to visualize transformations. Suitable for high school students and beginners in linear algebra.
GeoGebra Commands & Parameters
Vector((0, 0), A) → uVector((0, 0), B) → vSequence(Segment[T3 + (i * (T4 - T3) / n), T1 + (i * (T2 - T1) / n)], i, 0, n) → verSequence(Segment[T3 + (i * (T1 - T3) / n), T4 + (i * (T2 - T4) / n)], i, 0, n) → horTextfield(a) → InputBox1Textfield(b) → InputBox2Textfield(c) → InputBox3Textfield(d) → InputBox4