1. Consider the following vectors. ū= 10 W: 6 Z = 4 (a) Find the projection matrix for projecting vectors onto the span{u} (b) What is the projection of w onto the line in the direction of u (c) Check that a = wW-Pw is orthogonal to where pw is the projection you found in the previous step. (d) What is the projection of Z onto the line in the direction of u (e) Check that a = Z-p₂ is orthogonal to where p is the projection you found in the previous step.

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