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Unformatted text preview: x in R 3 for which T ( x ) = . 5. (16 points) After many row operations you have changed the matrix A to the following, which is not yet in reduced echelon form. Describe all solutions of the system A x = in parametric vector form. DO NOT USE A CALCULATOR!! SHOW ALL YOUR WORK STEP BY STEP!!! 3 6 2 23 1 1424 164 1 2 0 5 3 1 2 0 51 2 6. (14 points) Do the columns of the following matrix span all of R 3 ? Justify your answer. 1 2 1221 1 4 2 45 7. (14 points) Write the coeﬃcient matrix that results from using the vector equation approach to balance the following chemical reaction. DO NOT SOLVE THE SYSTEM!! 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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 Fall '08
 PAVLOVIC
 Linear Algebra, Algebra, 14 points, Dr. Schurle

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