HW3 - for which solutions exist? c. Let x 1 = + ! 1 , x 2 =...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Applied Multivariate Analysis I EDUC 771 Problem Set 3 1. Using the matrix X below X = 1 2 1 4 1 2 1 2 2 5 1 0 1 0 3 3 1 0 5 2 2 1 3 1 7 ! " # # # # # # $ % Determine if the rows/columns are linearly independent. How do you know? What is the rank of the matrix? 2. Let A = 1 1 0 0 1 0 1 0 1 0 0 1 ! " # # # $ % = μ ( 1 2 3 ! " # # # # $ % c = 4 6 5 ! " # # # $ % a. Write the equation A β =c as a set of three equations. b. What is the rank of A ? What does that tell you about the number of unique unknowns
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: for which solutions exist? c. Let x 1 = + ! 1 , x 2 = + 2 , x 3 = + 3. Write the equation A " = c in the form B x = d . What is B? Solve for x . d. Let x 1 = + 1 , x 2 = 2 " 1 , x 3 = 3 " 1. Write the equation A # = c in the form B x = d . What is B? Solve for x . e. Let i = ( 1 + 2 + 3 )/ 3. Explain why ( 1 " i ) + ( 2 " i ) + ( 3 " i ) =...
View Full Document

This note was uploaded on 04/16/2008 for the course EDUCATION 771 taught by Professor Keller during the Fall '08 term at UMass (Amherst).

Ask a homework question - tutors are online