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October 1st, 2009, 01:42 PM  #1 
Newbie Joined: Oct 2009 Posts: 20 Thanks: 0  Algebraic Properties of Matrix Operations
Show that if x1 and x2 are solutions to the linear system Ax=b, then x1x2 is a solution to the associated homogeneous system Ax=0.

October 1st, 2009, 02:27 PM  #2 
Senior Member Joined: Feb 2009 Posts: 172 Thanks: 5  Re: Algebraic Properties of Matrix Operations
Let and be solutions to . Then and . Hence, . Since, is a linear transformation . Hence that is is a solution to .

October 2nd, 2009, 03:36 PM  #3 
Newbie Joined: Oct 2009 Posts: 20 Thanks: 0  Re: Algebraic Properties of Matrix Operations
Thanks parasio 
October 3rd, 2009, 12:43 AM  #4 
Senior Member Joined: Feb 2009 Posts: 172 Thanks: 5  Re: Algebraic Properties of Matrix Operations
You're welcome. If you need anything just write to me.


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algebraic, matrix, operations, properties 
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