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November 12th, 2009, 05:51 PM  #1 
Newbie Joined: Oct 2009 Posts: 6 Thanks: 0  Finding a matrix, confused at how to get started
Let V be a subspace of R^6 given by the equations x1=x3+x4, x2=x4+x5, x3=x5+x6. a) Find a matrix B such that V=Nul(B) b) FInd a matrix A such that V=Col(A) and Nul(A)=0. What can one say about the set of columns af A? Calculate the product BA, where B is the matrix of part (a). c) Find the standard matrix for the orthogonal projection P:R^6 > R^6 onto V. Thank you! 
November 12th, 2009, 11:34 PM  #2 
Senior Member Joined: Apr 2008 Posts: 435 Thanks: 0  Re: Finding a matrix, confused at how to get started
I would start by finding a basis for your subspace, orthogonal would perhaps be best.


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