4 50 Points Find An Example Of An Application Of Linear Algebra That Concerns Solving A Linear System Of 3 Equations 1 (49.48 KiB) Viewed 29 times
4 50 Points Find An Example Of An Application Of Linear Algebra That Concerns Solving A Linear System Of 3 Equations 2 (29.09 KiB) Viewed 29 times
4. (50+ points) Find an example of an application of Linear Algebra that concerns solving a linear system of 3 equations in terms of 3 variables 11, 12, and 33. The system must have at least one solution. Based on the example you find, create your own example in a way that you end up with a system that takes the form 2112 + 12.02 +03:13 = bi 0211 + 12 + 02313 b) 02111 + 23212 + 42313 b3 where by is your student ID, az is the last digit of your student ID, and azz is the fourth digit of your student ID. Fix real values for other as and bys as you like. For instance, if my student ID was 870123456, then the system I end up solving takes the form 212 + 01229 + 01333 870123456 + 2212 + 63 by 0212 + 12+ 80, as an example, I could choose an application that comes down to solving the following sytem: 0x + 2r2 + 3x3 870123456 12 + 603 60+ 78 02111 (3 5 0 12 733
(e.) (5 points) Solve the system you end up with by using 3 digit rounding arithmetic and Gaussian elimination in Matlab or Octave, if possible. It is not possible, then write not applicable. 0.) (5 points) Solve the system you end up with by using 3 digit rounding arithmetic and inv() in Matlab or Octave, if possible. It is not possible, then write not applicable. (9.) (15 points) What is the interpretation of the solution, or a solution, to the system you end up? (1.) (10 points) What conclusion can you draw from all your work up to this point in regards to accuracy of the Gaussian climination method vs. computing a solution by using inv()?
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