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Midterm

ECON 1540 math2 MIDTERM sec O w13 verAans.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 4x12 and consider the following matrices. Based on the above, answer the following (5 marks each): (a) If C = (B'A)A', does matrix C exist? If so, what is its dimension? (5 marks) (b) If D = (A'B)'A', does matrix D exist? If so, what is its dimension? (5 marks) (c) Determine the dimension of matrix P and whether it is symmetric given Question 2: Consider the following matrices: Suppose the dependence of the vector of variables z on the vector of variables y is given by the matrix equation z = A y and the vectors of variables y depends on the vector of variables x according to the matrix equation y = B x (a) How many variables are inside the z vector? (3 marks) (b) How many variables are inside the y vector? (3 marks) (c) What is the matrix equation that gives z as a function of x? (4 marks) (d) What is the coefficient of variable _______ in the equation that shows the dependence of variable ______ on the ______ variables? (5 marks) (e) What is the coefficient of variable _______ in the equation that shows the dependence of variable ______ on the ______ variables? (5 marks) Quest
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