A3soln_ENGR215_F08

# A3soln_ENGR215_F08 - ans = 2 c An overdetermined system For...

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Engineering ENGR 215 College of San Mateo L. Demsetz Assignment 3: Systems of Linear Equations Solutions (from the text with comments) 1.

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Engineering ENGR 215 College of San Mateo L. Demsetz 2. Create three systems as described below. Each should consist of three equations; none should duplicate systems used as examples in Section 2.5 or in class. Express each system in the standard Ax = b form. Use x = A\b to solve each of the systems. Briefly discuss the results a. A system with three unknowns and a unique solution. For example, A = 1 2 3 5 7 8 12 15 18 >> b b = -1 1 5 >> rank(A) ans = 3 >> rank([A b]) ans = 3 >> x = A\b x = 2.4444 -1.2222 -0.3333 b. An underdetermined system. For example >> A = [ 1 2 3; 2 4 6; 12 15 18]; >> b = [-1; -2; 5]; >> rank(A) ans = 2 >> rank([A b])

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Unformatted text preview: ans = 2 c. An overdetermined system. For example >> A A = 1 2 3 2 4 6 10 20 30 >> b b = 4 9 60 >> rank(A) ans = 1 >> rank ([A b]) ans = Engineering ENGR 215 College of San Mateo L. Demsetz 2 Engineering ENGR 215 College of San Mateo L. Demsetz 3. Solve problem 40 on page 108. Engineering ENGR 215 College of San Mateo L. Demsetz 4. Solve problem 42 on pages 111-112. Note: This problem can also be set up as a 4x4 system (including q = (T1-Ti)/R1 in the matrix formulation). Engineering ENGR 215 College of San Mateo L. Demsetz 5. Solve problem 47 on page 115. Engineering ENGR 215 College of San Mateo L. Demsetz 5.continued Engineering ENGR 215 College of San Mateo L. Demsetz 6. Solve problem 50 on page 115. Engineering ENGR 215 College of San Mateo L. Demsetz...
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A3soln_ENGR215_F08 - ans = 2 c An overdetermined system For...

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