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Introduction to Matrix Transformations 2

Drag point P in the sketch below. As polygon PQRSTU moves, observe how P'Q'R'S'T'U' moves. Change the elements in the transformation matrix by dragging points A and B (vectors) Point A controls the first column in the matrix. Point B controls the second. How is the location of P'Q'R'S'T'U' related to the location of PQRSTU? (You can click and drag on the background to move the grid.)