ECON 3330 ECONOMETRIC ANALYSIS Tutorial 3 Questions
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ECON 3330 ECONOMETRIC ANALYSIS
Tutorial 3 Questions
(for 19 August 2021)
The tutorial questions are taken from Abadir, K., Magnus, J. (2005). Matrix Algebra (Econometric Exercises). Cambridge: Cambridge University Press. You can find the textbook online from UQ library. Exercise number for each question is given as a reference for you to be able to find the question from the textbook.
1. Exercise 4.19 (Inverse of 2-by-2 matrix) Consider the matrices
A = ╱ 2(1) 4(2)\ , and B = ╱ 2(1) 4(3)\
a. Does A have an inverse? What is rk(A)?
b. Does B have an inverse? What is rk(B)?
2. Exercise 4.29 (Determinant of order 3) Show that the determinant of a 3 × 3 matrix A = (aij ) is
|
/A/ = │ |
a12 a22 a32 |
|
3. Exercise 4.47 (Find the inverse) Obtain the inverse of the matrix A
╱ 1 1 0、
A = ． 4 5 3 ．
( ．
* Please download the R to your computers following the pdf shared by Antonio on Blackboard. This is a free software, so you will not need license numbers. Following this tutorial, we will go over some simple commands in R.
2022-08-29