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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 2 3 b 14 1 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 5 1 2 + x 2 1 31 . (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) Boron sulﬁde reacts violently with water to form boric acid and hydrogen sulﬁde (double yuk!) according to the following reaction. Using the elements in order B, S, H, O , write a vector equation whose solution can be used to balance the chemical equation. DO NOT SOLVE THE EQUATION!!!! B 2 S 3 + H 2 O → H 3 BO 3 + H 2 S...
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 Spring '09
 KOCH
 following matrix, Dr. Schurle

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