Quiz3Solutions

Quiz3Solutions - Newberger Math 247 Spring 03 Solutions for...

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Solutions for Quiz 1.5 and 1.7 A = 1 2 - 1 - 2 8 - 10 5 - 4 9 5 2 3 b = 0 - 12 14 8 1. (a) (8 points) Solve the system A x = b where A and b are given above. Put your answer in parametric vector form. To solve, reduce the augmented matrix. 1 2 - 1 0 - 2 8 - 10 - 12 5 - 4 9 14 5 2 3 8 1 2 - 1 0 0 12 - 12 - 12 0 - 14 14 14 1 - 8 8 8 1 2 - 1 0 0 1 - 1 - 1 0 0 0 0 0 0 0 0 1 0 1 2 0 1 - 1 - 1 0 0 0 0 0 0 0 0 Note that there are three columns, so the vector x is in R 3 . x = x 1 x 2 x 3 = 2 - x 3 - 1 + x 3 x 3 = 2 - 1 0 + - 1 1 1 x 3 (b) (4 points) Give a geometric description of the solution set that you found in part (a). The solution set to this matrix equation is a line in R 3 passing through the vector 2 - 1 0 parallel to the span of the vector
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Quiz3Solutions - Newberger Math 247 Spring 03 Solutions for...

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