ECON 1540 Midterm: 1540midtermN.pdf

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12 Jan 2015
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0. 5 t>,0 oib 0 c p p. , where __jj_ denotes the portion invested in assef / by fund] and. Question 2: consider the following matrices: j $ i. I 05 (f) determine whether the product matrix yy1 is symmetric. (5 marks) j)u. 0 3 i (a) what must the values of c and b and d inside a be for a to be symmetric? (6 marks) c- 5. Explain. (3 marks) (e) suppose where x1 , x2 and x3 are the same x variables as those in z. Consider the following vectors: p (a) which vector is shorter? (6 marks) (b) determine whether vectors p and z are orthogonal. (4 marks: z * 3 - 1 *0. ^ ^ o (c) draw these three vectors on the same graph. (6 marks) (d) refer to your graph to explain whether the system below has solutions and if so how many without deriving the solution.

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