526pract_fin_s10_solkey

# 526pract_fin_s10_solkey - M ATH 526 N UMERICAL L INEAR A...

This preview shows pages 1–4. Sign up to view the full content.

MATH. 526 NUMERICAL LINEAR ALGEBRA PRACTICE FINAL EXAM APRIL 23, 2010 Name: There are 8 problems in this test. Show all work. 1. (20 points) Let A = [~ ~ ~] .f< 2 - ~L.R! 3 -2 10 I?i·- ':~I2.J (a) Find the L - U factorization of A. J ;~ l I 'J 2 /) -2 . .. J - I 1 j .~. () ~.' - 1 tl L.\ 1 o /") 2 ') 0 i I (h) Compute the determinants of the matrices L. U, and A.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
([C)l US~ the 3 L]-U ]f A to solve [:);~aCl·toriza[ti~~~O 2 2 8 T2 = 24, 3 -2 10 :r:3 35 L-? .:» /1 r> .- II)' , 1 -, l J 2. -:::'-A ..fr' _ r-. V ~ (""' = II , 2, - /" ' -/-2 ' _ J 1 c: ~ .J _)._ _. • . . J} _. • -'. '0 -2 -( 0 ---) 0 2. 2 g 0 J '') \. () 7 2~r,.1- 2 ~3 -:.: L( -=<) .x'}_= - f 'I ':' -:- "Y'", -I 2> ,), ., -= 10 => 71-::::: '1 i ~ .... ,. ,-9 ei A -;:' ~'/-:t (d) Find the L _ D _ U factorization of A, - ~·t : \"/ ,,' - ,.J , "- I " - L. 0 ! () {] C'J 1 ~~7 °l / 2 0 0 o 1-1 0 rJ 0 2. ~J ~0 - .... ( I
2] 2. (1.5 points) Let A = 1 3 5 . [ 146 \ I \/) I·~ LI} '"' '..1 [ ., _. ":J (( () /7! 1/) \ . I \ / I ' . l /,")-1 . I . () /) !i ." \ .J I .. J l! /. .~. (b) Use the L -

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.

{[ snackBarMessage ]}

### Page1 / 11

526pract_fin_s10_solkey - M ATH 526 N UMERICAL L INEAR A...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online