This R function decompose_and_identify_transformations analyzes a 2x2 matrix to identify specific linear transformations, such as scaling, reflection, shearing, and their combinations. It checks the matrix against various patterns, including simple scaling, reflections about axes, and horizontal/vertical shearing, providing a verbal explanation and the general form of the transformation. The function also computes the transformed vector and its polar coordinates, comparing it with the original vector to determine changes in magnitude and direction. Each identified transformation is explained with a standardized output format, including the matrix, the transformation type, and polar coordinate differences. The code is designed to handle a wide range of transformations, providing clear and concise explanations for each case.

Plot dataset murders

Graficos ggplot del dataset murders

ggplot, grafico interactivo

The is the week 4 course assignment for the Building Data Products course in the John Hopkins Data Specialization Certificate Program.