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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?

 Mar 6, 2021
 #1
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https://math.stackexchange.com/questions/3675006/precalculus-vector-matrix-problem

 Mar 6, 2021

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