{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# hw2.09 - ECE521 Linear Systems Fall 2009 Homework 2 Due...

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: ECE521 Linear Systems Fall 2009 Homework 2: Due Septemper 24, in class To the extent possible please type your homeworks. Note: You are free to use Matlab for calculations. However Matlab is not necessary for obtaining answers to any of the problems. Problem 1 : Consider a 2 matrix A ( t ) which is continuous for all real t but is not invertible for any t . 1. As an example of such A ( t ), show that A ( t ) = a ( t ) b ( t ) T where a ( t ) , b ( t ) ∈ R 2 are continu- ous for all real t is not invertible for any t . 2. Is it necessary the case that integraltext T A ( τ ) dτ is not invertible for any t ? Explain. Problem 2: 1. Let columns of X i , i = 1 , 2, span invariant subspaces of A . Do the columns of X = [ X 1 , X 2 ] also span an invariant subspace of A ? 2. Let S =     1 2 9 10 0 1 2- 3 0 0 1 2 0 0 0 1     Find a generalized eigenvector of S of maximal order. Show your work....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

hw2.09 - ECE521 Linear Systems Fall 2009 Homework 2 Due...

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

View Full Document
Ask a homework question - tutors are online