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 May 21st, 2015, 08:51 PM #1 Newbie   Joined: May 2015 From: South Korea Posts: 1 Thanks: 0 How can I find Orthogonal Projection of a non-linear surface? Suppose I want to find the orthogonal projection of (x1,x2,y1,y2) such that x1=x2, y1=y2. I have to calculate the A matrix whose columns are the basis vectors of given subspace. I choose A=[v1;v2] as basis vector combination, where v1=[1 0 1 0] and v2=[0 1 0 1]. Then I calculated the Projection matrix as P=A*inverse(transpose(A)*A)transpose(A). Now if I want to find the Projection matrix of (x1,x2,x3,y1,y2,y3,z1,z2,z3) such that (x2−x1)^2+(y2−y1)^2+(z2−z1)^2=64 (x2−x3)^2+(y2−y3)^2+(z2−z3)^2=36 (x3−x1)^2+(y3−y2)^2+(z3−z1)^2=100 Do I have to find the basis vector for calculating Projection matrix? If yes, how? Is there any other way to find its Projection matrix (P)? Last edited by Tehseen; May 21st, 2015 at 08:57 PM. Tags find, nonlinear, orthogonal, projection, surface Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post atraxis Applied Math 6 June 16th, 2015 02:31 AM atraxis Algebra 0 November 24th, 2013 07:15 AM Robertoo Linear Algebra 3 January 5th, 2013 07:58 AM abcdefg Algebra 1 September 27th, 2011 04:35 AM eddie25 Linear Algebra 0 November 21st, 2009 05:40 PM

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