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Unformatted text preview: x 2 + x 3 + x 4 + x 5 = changes to x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = 1 or it can have inFnitely many solutions, for example, when x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = x 1 + x 2 + x 3 + x 4 + x 5 = changes to x 1 + x 2 + x 3 + x 4 + x 5 = 1 x 1 + x 2 + x 3 + x 4 + x 5 = 1 x 1 + x 2 + x 3 + x 4 + x 5 = 1 x 1 + x 2 + x 3 + x 4 + x 5 = 1 x 1 + x 2 + x 3 + x 4 + x 5 = 1 . Answer: The new system can have no solutions or inFnitely many solutions. 1...
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 Fall '08
 Conger
 Linear Algebra, Algebra

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