Q1. Let y = U1 = and u2 = 0 3. Let W = Span{u1, u2}. = 3 (a) Show that {ui, u2} forms an orthogonal basis for W. (b) Com
Posted: Thu May 12, 2022 11:03 am
Q1. Let y = U1 = and u2 = 0 3. Let W = Span{u1, u2}. = 3 (a) Show that {ui, u2} forms an orthogonal basis for W. (b) Compute the orthogonal projection of y onto W. (c) Write y as the sum of a vector in W and a vector orthogonal to W. (d) What is the closest point to y in W? (e) Find the distance from y to W.