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Unformatted text preview: equation A~x = ~ , where ~x = x 1 x 2 x 3 . By assumption, the vectors c 1 c 2 c 3 and d 1 d 2 d 3 are solutions to this equation. This means A c 1 c 2 c 3 = ~ and A d 1 d 2 d 3 = ~ . But now A c 1 + d 1 c 2 + d 2 c 3 + d 3 = A c 1 c 2 c 3 + A d 1 d 2 d 3 = ~ 0 + ~ 0 = ~ . 1...
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 Fall '10
 Russel
 Linear Algebra, Algebra, Linear Equations, Addition, Equations, Vector Space, Elementary algebra, Linear map

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