MATLAB Assignment 9

Introduction to Linear Algebra (Week 13) Spring, 2018

1. MATLAB Submission Problem 4 ( Due Date : May 31 (Thu) ) Referring to the instruction below, you are required to submit this problem.

Using the MATLAB command questdlg, make your dialogue box as follows:

Considering the items below, implement the function files to make your dialogue box operate properly.

For Fundamental space and Extract the column basis in your dialogue box, check them for the following matrix

?2 ?1 3 5?

?4 ?3 1 3? A=?3 ?2 3 4?,

??4 ?1 15 17?? 7 ?6 ?7 0

and for QR decomposition, check it for the following matrix

?2 ?1 3 5?

?4 ?3 1 3? A=?3 ?2 3 4?.

??4 ?1 15 17?? 7 ?6 ?7 1

For Fundamental space, using the MATLAB functions colspace, null, and rank, make your own function file to find bases for four fundamental spaces of A.

For Extract the column basis, using the MATLAB functions rref and rank, make your own function file to find pivot columns of A from the result of rref(A). Do NOT use the syntax [R pivotcols] = rref(A), use only rref(A). You may use the MATLAB commands min and find.

For QR decomposition, using the Gram-Schmidt process, make your own function file to find a QR-decomposition of A. Do NOT use the MATLAB built-in function qr.

You may refer to the function files from the previous MATLAB Assignments.

SubmissionGuidelines.

Upload your m-files (including each function file corresponding to each case), result- ing image and hardcopy solution (pdf format is recommended) on the Homework Box for MATLAB Submission Problem 4.

Print out your hardcopy solution and submit it to your recitation TA at the beginning of your recitation class.

iii. Add comments in your m-file using %. Late submission will not be allowed.

2. Read the attachment MATLAB Week13.pdf and practice by yourself.