Let A=(1111)A = \begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}A=(1111). What is the projection of b=(12)b = \begin{pmatrix} 1 \\ 2 \end{pmatrix}b=(12) onto the column space of AAA?
(11)\begin{pmatrix} 1 \\ 1 \end{pmatrix}(11)
(1.51.5)\begin{pmatrix} 1.5 \\ 1.5 \end{pmatrix}(1.51.5)
(22)\begin{pmatrix} 2 \\ 2 \end{pmatrix}(22)
(0.50.5)\begin{pmatrix} 0.5 \\ 0.5 \end{pmatrix}(0.50.5)