MATH 240 Midterm: MATH240 spring2007M2 math232
31 Jan 2019
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No credit will be given for just writing down the answer: if the answer space provided is not su cient, write your answer on the back of the previous page. Clearly mark the question number: all the best. Page 2 of 6: we consider the following system of equations: x1 +x2 +2x3 4x4 = 1 x1 +2x2 +x3 +x4 = 2. 2x1 +4x2 +2x3 x4 = 1 (a) (1 point) write down the augmented matrix corresponding to this system. Answer (b) (3 points) determine the reduced row echelon form of this matrix. Show your work. (use the back of the previous page if you need more room) Page 3 of 6 (c) (2 points) write down the full solution set to the system in parametric form. Answer (d) (2 points) let b = . Can you write b as a linear combination of a1, . Motivate your answer and, if it is yes , give such a linear combination.
