Question: 2. Consider the matrix 1 1 A : 1 1 1 1 (3) Find the projection matrix P that projects vectors to the column space

 2. Consider the matrix 1 1 A : 1 1 1

2. Consider the matrix 1 1 A : 1 1 1 1 (3) Find the projection matrix P that projects vectors to the column space of A. 1 (b) Let b : 1 . Find the least squares solution :13 for projecting b to the column space of A. 1 (c) Find p as projection of b to the column space of A. (d) Find e = b p where p is the projection from the previous part. Show that e is perpendicular to the column space of A

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