(Solved): 7. (10 points) Calculate the Projection of \( b \) onto the column space defined by matrix A. 1 (a ...

7. (10 points) Calculate the Projection of \( b \) onto the column space defined by matrix A. 1 (a) \( \mathrm{A}=\left[\begin{array}{ll}1 & 1 \\ 0 & 1 \\ 0 & 0\end{array}\right] \quad \mathrm{b}=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right] \) (b) \( \mathrm{A}=\left[\begin{array}{ll}1 & 1 \\ 1 & 1 \\ 0 & 1\end{array}\right] \quad \mathrm{b}=\left[\begin{array}{l}4 \\ 4 \\ 6\end{array}\right] \)