Given the vector v=(12)v = \begin{pmatrix} 1 \\ 2 \end{pmatrix}v=(12), compute the projection matrix P=vvTvTvP = \frac{vv^T}{v^Tv}P=vTvvvT.
15(1224)\frac{1}{5}\begin{pmatrix} 1 & 2 \\ 2 & 4 \end{pmatrix}51(1224)
(1224)\begin{pmatrix} 1 & 2 \\ 2 & 4 \end{pmatrix}(1224)
13(1224)\frac{1}{3}\begin{pmatrix} 1 & 2 \\ 2 & 4 \end{pmatrix}31(1224)
15(1144)\frac{1}{5}\begin{pmatrix} 1 & 1 \\ 4 & 4 \end{pmatrix}51(1414)