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November 12th, 2009, 05:51 PM   #1
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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!
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November 12th, 2009, 11:34 PM   #2
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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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