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October 1st, 2009, 02:42 PM   #1
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Algebraic Properties of Matrix Operations

Show that if x1 and x2 are solutions to the linear system Ax=b, then x1-x2 is a solution to the associated homogeneous system Ax=0.
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October 1st, 2009, 03:27 PM   #2
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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 .
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October 2nd, 2009, 04:36 PM   #3
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Re: Algebraic Properties of Matrix Operations

Thanks parasio
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October 3rd, 2009, 01:43 AM   #4
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Re: Algebraic Properties of Matrix Operations

You're welcome. If you need anything just write to me.
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