Find the projection of vector w = (3, 6, 2) onto the plane that contains the vectors u = (1, 7, 3) and v = (6, 2, 9).
(a) First for the matrix A which has column space equal to the span of u and v. That is, find A = [u|v]
(b) Now find the product B = At A
(c) Now find the inverse B 1 = (At A) 1 (d) Now find the pseudo-inverse psinv A = B 1 At = (At A) 1 At (e) Now find the projection matrix projA = A psinv (A) = A(At A) 1 At (f) Finally, find the projection of the given vector, projA w = A(At A) (a) (b) (c) (d) (e) (f) 1 At w