# Su96ex2 - Name SHOW ALL WORK Problem 3(25 pts Solve the...

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

SU 96 EGN 3420 Exam 2 Name ________________ SHOW ALL WORK! Problem 1 (25 pts) For the system of equations x 3 + x 4 + x 5 = 2 3x 1 + 3x 2 - 2x 3 + x 4 + x 5 = 2 5x 1 + 3x 2 - 2x 3 + 3x 4 + x 5 = 4 x 1 + 2x 2 + x 3 + 2x 4 + 3x 5 = 5 A) Find the Echelon matrix and determine if the equations are consistent. B) If the equations are consistent, how many arbitrary unknowns are there? C) Can x 1 and x 2 both be arbitrary? If they can, use the Gauss Jordan method applied to the system of equations with x 1 and x 2 on the right hand side to find x 3 , x 4 , and x 5 in terms of x 1 and x 2 . ……………………………………………………………………………………………… Work Area

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

View Full Document
SU 96 EGN 3420 Exam 2 Name ________________ SHOW ALL WORK! Problem 2 (25 pts) Find the value(s) of K for which the system of equations below does not possess a unique solution. w + x + y + z = 6 w + x + y - z = 0 2w - x + y = 1 w - 2x + Ky + 3z = 7 …………………………………………………………………………………………… Work Area
SU 96 EGN 3420 Exam 2

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.

Unformatted text preview: Name ________________ SHOW ALL WORK! Problem 3 (25 pts) Solve the system of equations below using the Gauss-Seidel method. Start with an initial guess of x o = 1, y o = 1, z o = 1. Stop when the magnitude of the true error in z falls below 0.1, i.e. 3 - z i < 0.1 4x-2y + z = 3 x + 3y-z = 4 x-y + 4z = 11 Keep all intermediate calculations in terms of fractions. SU 96 EGN 3420 Exam 2 Name ________________ SHOW ALL WORK! Problem 4 (25 pts) Using Simpson’s 1/3 Rule to approximate 1 1 1 I dx x = + ∫ The interval (0,1) is to be divided into 10 equal subintervals producing a step size of h = 0.1 …………………………………………………………………………………………… … Work Area i x i f i = f(x i ) 0.0 1.0000 1 0.1 2 0.2 3 0.3 4 0.4 5 0.5 6 0.6 7 0.7 8 0.8 9 0.9 10 1.0 0.5000...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

Su96ex2 - Name SHOW ALL WORK Problem 3(25 pts Solve the...

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

View Full Document
Ask a homework question - tutors are online