My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum

LinkBack Thread Tools Display Modes
May 21st, 2015, 08:51 PM   #1
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




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.
Tehseen is offline  

  My Math Forum > High School Math Forum > Algebra

find, nonlinear, orthogonal, projection, surface

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
orthogonal projection of ellipsoid. atraxis Applied Math 6 June 16th, 2015 02:31 AM
orthogonal projection of ellipsoid. atraxis Algebra 0 November 24th, 2013 07:15 AM
Orthogonal projection of eigenvector Robertoo Linear Algebra 3 January 5th, 2013 07:58 AM
3d orthogonal projection on a plane abcdefg Algebra 1 September 27th, 2011 04:35 AM
Orthogonal Projections and Linear Transformations eddie25 Linear Algebra 0 November 21st, 2009 05:40 PM

Copyright © 2019 My Math Forum. All rights reserved.