MATH 240 Midterm: MATH240 fall2009 M1 MATH232-solution

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

Instructions/remarks: read all instructions, the questions are on the 6 numbered single-sided pages following this one. Count them now: please include all details and rough work. You may use the back of the question pages and there is extra paper should you require it: the exam is out of a total of 50 marks. The value of each question is indicated below: you have 50 minutes to complete this examination, good luck! Question 1 [15pts] consider the system of linear equations x1 x2 + 2x3 = 1. X1 + 2x2 (1 + p)x3 = p 1. Justify your answers and show all your work. 2p 1 b. -e. for the remainder of the question we need to reduce the augmented matrix to row-echelon form. 1 0 3 p 1 + p. So x3 is a free variable, x1 = 2 2x3 and x2 = 1. 10 + 15 + 10 y + 5 + 5 + 5 + 10.