{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

e483h2_07

# e483h2_07 - Simon Fraser University School of Engineering...

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

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.

Unformatted text preview: Simon Fraser University School of Engineering Science ENSC 483 - Modern Control Systems Spring 2007–Assignment 2 1. Consider the following set of vectors: v 1 = 1- 1 2 3 ; v 2 = 2- 2 1 ; v 3 = 1 1 3 . 5 ; v 4 = - . 5 4 . 5- 5 . 5 Define two basis B 1 = { v 1 , v 2 } , and B 2 = { v 3 , v 4 } for the subspace span of { v 1 , v 2 , v 3 , v 4 } . (a) Find the transformation matrix T , which transforms vectors represented in B 1 into vectors represented in B 2 basis. (b) Find the representation of the vector v = [1- 3 4 2] T in the B 1 basis. (c) Use the results of a) to find the representation of v with respect to B 2 basis. (d) Verify that your answer in c) is correct. 2. Consider the following vectors in ( < 3 , < ) x 1 = - 2- 1 2 ; x 2 = 1 1- 1 ; x 3 = 8 5- 7 and following vectors in (...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

e483h2_07 - Simon Fraser University School of Engineering...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online