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Note: I don't know LaTeX that well, hence I have done my working in the images.
Show that the rows of G are a basis for the null space of H (part of this question will be to show the independence explicitly).
http://img.skitch.com/20090415-f6gewnam8bq6m971y9s7cam55q.preview.jpg
Click for full size - Uploaded with plasq's Skitch
Nullspace of H is the vector space of x, in which Hx=0. Basis is set of independent vectors that define this space.
http://img.skitch.com/20090415-reqmbp49jacrhkme1886t1j5sx.jpg
http://img.skitch.com/20090415-gwtu1hpgep9aun89isp16jxhwn.jpg
Any help you can provide would be greatly appreciated.
Homework Statement
Show that the rows of G are a basis for the null space of H (part of this question will be to show the independence explicitly).
http://img.skitch.com/20090415-f6gewnam8bq6m971y9s7cam55q.preview.jpg
Click for full size - Uploaded with plasq's Skitch
Homework Equations
Nullspace of H is the vector space of x, in which Hx=0. Basis is set of independent vectors that define this space.
The Attempt at a Solution
http://img.skitch.com/20090415-reqmbp49jacrhkme1886t1j5sx.jpg
http://img.skitch.com/20090415-gwtu1hpgep9aun89isp16jxhwn.jpg
Any help you can provide would be greatly appreciated.