This preview shows pages 1–8. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: UF ESI 6314 PreWark Assignment Due August 10, 2007 Luther Setzer page 1 orz.,ru J UFESI6314 7/6/2007 page h r y rz,.. 26. The grades of two students during their last semester at S.U. are shown in Table 2. Courses 1 and 2 are four credit courses, and courses 3 and 4 are three credit courses. Let GPA j be the semester grade point average for student i. Use matrix multiplication to express the vector in terms of the information given in the problem. TABLE 2 ( 3.6 3.8 2.6 3.4) Student := 2.7 3.1 2.9 3.6 Hours:= I Course Hours = 14 Course GPA:= Student Hours ( 3.40) GPA = 3.05 Luther Setzer I NASA Pkwy EStop NEM3, Kennedy Space Center, FL 32899 (321) 5447435 UFESI6314 7/6/2007 page 3 of 7,,7 27. Use the GaussJordan method to find all solutions to the following linear system: Begin by casting the problem in terms of standard Mathcad matrices. A:= [~ : J I  I b{J Now employ the elementary row operation (ERa) to solve for the variables. C := augment( A, b) 1 j,.+ ~ ' ,'2; ffrf;.,7 tfrtleA J we1/. ~ . Transpose this matrix into columns to use standard Mathcad operators and thus to employ elementary column operation (ECO). Luther Setzer I NASA Pkwy EStop NEM3, Kennedy Space Center, FL 32899 (321) 5447435 UFESI6314 [ 3 I l C = 4I 3 4 (']) C(i) C : =  4 7/6/2007 page~Of~~ Now transpose this matrix back into rows to employ elementary row operation (ERG). T C:= C Xl = X2 :;:.( ~I ~X?= (:::I r Luther Setzer 1 NASA Pkwy EStop NEM3, Kennedy Space Center, FL 32899 (321) 5447435 UFESI6314 7/6/2007 pag50f~V Now return this augmented matrix back into its original two matrices. A = [~ ~ J I  I This shows, by inspection, that Luther Setzer I NASA Pkwy EStop NEM3, Kennedy Space Center, FL 32899 (321) 5447435 UFESI6314 7/6/2007 page f of rz..."7 . 29. Let C t = number of children in Indiana at the beginning of year t, and At = number of adults in Indiana at the beginning of year t. During any given year, 5% of all children become adults, and 1% of all children die. Also, during any given year, 3% of all adults die. Use matrix multiplication to express the vector in terms of CMatured = 5%C t t CD d = 1%C Ie t t C = 94%C t+ 1 I AD d = 3%A Ie t t A 1 = A AOied + CMatured t+ t t I A = 97%A + 5%C t+ I t t [ c I) [94%.C + O%A ) A t + = 5%C ~ 97.%.~ t+1 t t [ C t + l ) = (0.94 O.OOJ.[C t ) At+ 1 0.05 0.97 At / Luther Setzer I NASA Pkwy EStop NEM3, Kennedy Space Center, FL 32899 (321) 5447435 UFESI6314 7/6/2007 pagel of ~~ 210. Use the GaussJordan method to find all solutions to the following linear equation system: Begin by casting the problem in terms of standard Mathcad matrices....
View
Full
Document
 Fall '09
 VLADIMIRLBOGINSKI

Click to edit the document details