# Homework 9 - CSE 3380 Homework#9 Assigned Due Monday April...

• Homework Help
• 3
• 100% (1) 1 out of 1 people found this document helpful

This preview shows pages 1–2. Sign up to view the full content.

CSE 3380 – Homework #9 Assigned: Monday, April 4, 2016 Due: Monday, April 11, 2016 at 3:50pm (the end of class) Note the following about the homework: 1. You must show your work to receive credit. 2. If your submission has more than one page, staple the pages. Assignment: Process 1. (hand solution) If A = 1 1 2 0 1 3 and vector b = 1 3 10 find the least squares solution vectorx * . 2. (hand solution) If A = 2 1 1 2 2 1 and vector b = 4 1 4 find the least squares solution vectorx * . 3. (hand solution) Use linear regression to determine the coefficients of y i = β 0 + β 1 x i for the following set of x and y values. x 1 2 4 7 y -1 0 1 1 Theory 4. If we have an m × n real matrix A , show that A T A is symmetric. Do this for the general case, which means for a generic m × n matrix. Hint: this is easier using dot products. 5. In order to find the least squares solution of a system of equations using the normal equations, we must be able to produce ( A T A ) - 1 . This requires that A be of full column rank . If A is an m × n matrix and m < n (i.e., less rows than columns), then it cannot be of full column

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern