Question
Let $\bold{w} = \begin{pmatrix} 2 \\ -1 \end{pmatrix}$. There exists a $2 \times 2$ matrix $\bold{P}$ such that
\[\text{proj}_{\bold{w}} \bold{v} = \bold{P} \bold{v}\]
for all 2-dimensional vectors $\bold{v}$. Find $\bold{P}$.
\[\text{proj}_{\bold{w}} \bold{v} = \bold{P} \bold{v}\]
for all 2-dimensional vectors $\bold{v}$. Find $\bold{P}$.
Answers
Steve
can you skip the LaTex? It appears that you are saying that
w = (2,1) and there is a 2x2 P such that
w•v = Pv
or something like that. Correct?
w = (2,1) and there is a 2x2 P such that
w•v = Pv
or something like that. Correct?