EEL3105_MT2_Solution

Thelastpolynomialisthecharacteristicpolynomialofanotic

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: /2. [This is a change of variables.] Then det( sI 2 A) 2n det( zI A) 2n [ z n n 1 z n 1 n 2 z n 2 1 z 0 ] n 1 n2 s n s s s 2n n 1 n 2 1 0 2 2 2 2 n n 1 n2 n 1 n 2 s 2 n 1s 2 n 2 s 2 1s 2 0 . The last polynomial is the characteristic polynomial of A. Notice how the coefficients get multiplied by powers of 2. We can apply this general formula for part a. Here n=4 and we have been given the c. p. of A as s 4 3s3 5s 2 7 s 9 . Therefore, c. p. for 2A will be s 4 6s 3 20s 2 56s 144 8. Define M AB BT AT Note th...
View Full Document

This note was uploaded on 12/27/2011 for the course EEL 3105 taught by Professor Boykins during the Fall '10 term at University of Florida.

Ask a homework question - tutors are online