{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

AMath350.W13.A6

# 2 suppose that a is a matrix with an eigenvalue of

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

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

Unformatted text preview: tion. 2. Suppose that A is a matrix with an eigenvalue, , of multiplicity two with associated eigenvector, v, and generalized eigenvector u. (That is, 3. Solve the following)IVPs. ). Recall that v and u are linearly independent u satisﬁes (A I u=v vectors. Let y1 (x) = e x v and y2 (x) = e x (u + xv). Use the deﬁnition 6 7 6 0 x ~, x x (0) = toa) ~ =that y1 (x) and y2 (~ ) are linearly independent functions on IR. show 1 2 0 3. In class we discussed the relationship between the Wronskian and linear 1 0 independence of 2 ~ , functions ~ (0) =are0solutions of a particular system of which b) ~ = x x x 2 1 4 di erential equ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online