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Midterm

math2 MIDTERM sec P w13 verBans.pdf

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Department
Art
Course
FAH101H1
Professor
Professor Petit
Semester
Winter

Description
Question 1: Suppose matrix A is 4x9 and matrix B is 12x12 and consider the following matrices. Based on the above, answer the following (5 marks each): (a) What is the dimension of matrix C, if C = (BB')B? (b) Determine whether C is a symmetric matrix. (c) What is the dimension of matrix D, if D = (A'A)A'? (d) Determine whether matrix D is symmetric. Question 2: Consider the following matrices: where _____ denotes the portion invested in asset i by fund j and _____ denotes the portion of wealth invested in fund i by person j (a) What is the value of element z in matrix A? (3 marks) (b) How many investors are present in this scenario? (3 marks) (c) Which person invests the largest portion of her wealth in fund 2? (4 marks) (d) Which person will have the largest portion of her wealth invested in asset 2? (10 marks) Question 3: Answer each of the f
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