Multiplying a transformation matrix by a column vector

Multiplying a 2x2 transformation matrix by a column vector

Computing the matrix-vector product to find the transformed vector

Multiplying the transformation matrix by the column vector

Multiplying a 2x2 matrix with a column vector (2, 2)

Plotting a column vector and its transform on a graph

Identity matrix transformation leaves a vector unchanged

Applying a transformation matrix to vector (-1, 2) and graphing the result