題組內容

5. Project the vector \( b = \begin{bmatrix} 2 \\ 3 \\ 4 \end{bmatrix} \) onto the plane contains \( a1 = \begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix} \) and \( a2 = \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix} \).

(1)Find the 3 by 3 projection matrix \( P \) onto the plane of \( a_1 \) and \( a_2 \). (5%)