2007 - 2008 Fall MT1 - Group List No. Last Name Name...

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Unformatted text preview: Group List No. Last Name Name Student No. Department Section Signature : : : : : : : : : : : : : Code Acad. Year Semester Coordinator Date Time Duration M E T U Department of Mathematics BASIC LINEAR ALGEBRA Midterm 1 Math 260 2007-2008 Fall S.F, S.O, A.S. October 31.2007 17:40 90 minutes 4 QUESTIONS ON 4 PAGES TOTAL 100 POINTS 1 2 3 4 Question 1 (10+10=20 points) Consider the following matrix: A = 1 1 2 2 7 3- 1 1 3 4- 1 1 3 8 1- 6 2 6 1 2 3 4- 5 5 1- 2 1 1 7 a) Find an upper triangular matrix which is row equivalent to A . b) Find the determinant of 2 A . Question 2 (15+10 points) a)Find the inverse of the following matrix using elementary row operations. (Warning: There is no partial credit for this question, so make sure that your operations are right and your final answer is correct) 1- 2 1 3- 4- 3- 7 10 b) Suppose that A and B are 3 × 4 matrices such that...
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2007 - 2008 Fall MT1 - Group List No. Last Name Name...

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