Every vector \({v}\) can be expressed uniquely in the form \({a+b}\), where \({a}\) is a scalar multiple of \(\begin{pmatrix} 2 \\ -1 \end{pmatrix}\), and \({b}\) is a scalar multiple of \(\begin{pmatrix} 3 \\ 1 \end{pmatrix}.\) Find the matrix \({P}\) such that \({Pv=a}\) for all vectors \({v}\).
Sorry if this is a dumb question, but does \({Pv}\) mean P * v, or P dot v?
+237 https://math.stackexchange.com/questions/3675006/precalculus-vector-matrix-problem
