Vector Decomposition: Coordinate Representation via Basis Vectors and Matrix Inv

This GeoGebra example demonstrates how to decompose a planar vector into a linear combination of two basis vectors u and v. By constructing the basis matrix M and computing its inverse Minv via the Invert command, the decomposition coefficients px and py are calculated automatically. The interface features draggable points and vectors, accompanied by grid lines (linesX, linesY) generated with the