homework02

# homework02 - Homework 2 Stat 541 Linear Algebra Due Fri 12...

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

Homework 2, Stat 541: Linear Algebra Due Fri, Sept 25, 2009, 12 Noon Your Name: (replace this with your name) September 22, 2009 Instructions: Edit this LaTex file by inserting your solutions after each problem statement. Generate a PDF file from it and e-mail the PDF to the usual class gmail address. You should not just answer the questions but also give evidence or even proof. You can discuss the homework with each other in general terms, but not with previous years’ students of Stat 541. Also, you must write your own solutions and not copy from anyone. 1. Interpretations of matrix multiplication: Assume X is of size n × p and B of size p × q . (a) If X = ( x 1 , x 2 , ..., x p ), B = ( b 1 , b 2 , ..., b p ) T , express XB = X j =1 ,...,p x j b T j A: (b) If X = ( x 1 , x 2 , ..., x n ) T , B = ( b 1 , b 2 , ..., b q ), express ( XB ) i,k = x T i b k A: 2. Write the Euclidean inner product as h x , y i = x T y and the Euclidean squared norm as k x k 2 = x T x . What is the interpretation of y 7→ h y , x i k x k 2 x ?

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

View Full Document
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