Define a matrix by moving the red and blue dots. The matrix is applied to the vector selected by the lime dot to produce the vector shown in dark green. A 2x2 matrix is like a pair of vectors. When you multiply the pair with an input vector, that vector is transformed in such a way that converts 'basis vectors' (x:1, y:0) and (x:0, y:1) to the vectors in the matrix. More info: * You can have matrices with any number of rows and columns. Example: a 3-row, 2-column matrix can be applied to a 2D vector to get a 3D one. * You can multiply two matrices to combine the transformations they represent. Unlike with two numbers, order matters.
