Differential Equations Solutions 29

Differential Equations Solutions 29 - 39 (a) (Review) cz1 +...

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

View Full Document Right Arrow Icon
39 (a) (Review) Gz = · cz 1 + sz 2 sz 1 cz 2 ¸ = x e 1 Multiplying the frst equation by c , the second by s , and adding yields ( c 2 + s 2 ) z 1 = cx , so c = z 1 /x . Similarly, we can determine that s = z 2 /x . Since c 2 + s 2 = 1, we conclude that z 2 1 + z 2 2 = x 2 , so we can take c = z 1 p z 2 1 + z 2 2 , s = z 2 p z 2 1 + z 2 2 . (b) The frst rotation matrix is chosen to zero a 61 . The second zeros the resulting entry in row 6, column 2, and the fnal one zeros row 6, column 3. CHALLENGE 7.6. See
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/21/2012 for the course MAP 3302 taught by Professor Dr.robin during the Fall '11 term at University of Florida.

Ask a homework question - tutors are online