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Fundamentals of Engineering Analysis EGR 1302 Unit 1, Lecture G

Fundamentals of Engineering Analysis EGR 1302 Unit 1, Lecture G Approximate Running Time - 20 minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University. Procedures:

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Fundamentals of Engineering Analysis EGR 1302 Unit 1, Lecture G

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  1. Fundamentals of Engineering Analysis EGR 1302 Unit 1, Lecture G Approximate Running Time - 20 minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University • Procedures: • Select “Slide Show” with the menu: Slide Show|View Show (F5 key), and hit “Enter” • You will hear “CHIMES” at the completion of the audio portion of each slide; hit the “Enter” key, or the “Page Down” key, or “Left Click” • You may exit the slide show at any time with the “Esc” key; and you may select and replay any slide, by navigating with the “Page Up/Down” keys, and then hitting “Shift+F5”.

  2. implies Compatible and Incompatible Solutions Note: detA=0 This system has no solution “inconsistent”

  3. Change the System This system has infinite solutions, depending on the value of The Infinite Solution detA still equals zero Same Row operations implies

  4. 1. Unique = X3 exists as a single value 2. None = No X3 exists 3. Infinite = X3 exists as any value The Three General Solutions

  5. rref() rref() rref() Graphic Examples of the Three General Solutions unique single point of intersection all planes intersect on the same line infinite planes parallel, never intersect no solution

  6. Using Cramer’s rule: , a trivial solution, or This determinant = 0, implying Either rref() , implying infinite solutions The Homogeneous Set of Linear Equations When x=5, infinite solutions exist, otherwise, there is no solution.

  7. & Given Example of the Three General Solutions (Example 12.3 in the Text) 1. Unique Solution 2. No Solutions 3. Infinite Solutions

  8. This concludes Unit 1, Lecture G You are now ready to take the Unit 1 Exam

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