GradedSubmission - UF ESI 6314 Pre-Wark Assignment Due...

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Unformatted text preview: UF ESI 6314 Pre-Wark Assignment Due August 10, 2007 Luther Setzer page 1 orz.,r-u J UF-ESI-6314 7/6/2007 page h r y rz-,.. 2-6. 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) 544-7435 UF-ESI-6314 7/6/2007 page 3 of 7,,7--- 2-7. Use the Gauss-Jordan 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) 544-7435 UF-ESI-6314 [ 3 I l C = 4-I 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) 544-7435 UF-ESI-6314 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) 544-7435 UF-ESI-6314 7/6/2007 page f of rz...-"7 .- 2-9. 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) 544-7435 UF-ESI-6314 7/6/2007 pagel of ~~ 2-10. Use the Gauss-Jordan method to find all solutions to the following linear equation system: Begin by casting the problem in terms of standard Mathcad matrices....
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GradedSubmission - UF ESI 6314 Pre-Wark Assignment Due...

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