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Unformatted text preview: of the following matrix in terms of the parameters a , b , and c . Show your work and simplify your answer as much as possible. a 3 2 1 b 41 c 6. (12 points) Suppose T is a linear transformation from R 2 to R 3 for which T " x 1 x 2 #! = x 1 1 2 3 + x 2 3 41 . (a) Give a matrix A for which T ( x ) = A x . (b) Calculate and simplify T " 2 3 #! (c) Could the range of T be all of R 3 ? Why or why not? 7. (12 points) When an AlkaSeltzer tablet is dissolved in water, the following reaction takes place. Using the elements in order Na, H, C, O , write a vector equation whose solution can be used to balance the chemical equation. DO NOT SOLVE THE EQUATION!!!! NaHCO 3 + H 3 C 6 H 5 O 7 Na 3 C 6 H 5 O 7 + H 2 O + CO 2...
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 Spring '09
 KOCH

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